The computer doesn’t know where the IP address is located. It just knows where to send that packet.
It has a table in its memory that indicates where to send packets. The table will show that (for instance) 192.168.0.* is the local network, and that everything else is to be sent to the router at 192.168.0.1. So it sees that the packet goes to 67.207.146.191, and hands it over to the computer at 192.168.0.1.
That computer also has a routing table, and probably (since 192.168.* is a private IP range) a translation table. It sees that everything that’s not in 192.168.* goes to its upstream router. Each router looks up its own routing table, and then sends the packet in the right direction.
At some point, it will reach a top-level router that knows that 67.* goes to this router, and then that one knows that 67.200.* through 67.208.* goes to that router, and then that one knows that 67.207.146 is this particular data center, and then 67.207.146.191 is that particular machine.