Engineers Milo and Christine operate a reactor producing a polymer $($PM$)$ by the following balanced, reversible chemical reaction: $2A+1B1PM+4W.$ A and $B$ are secret building block components and $W$ is water $(H_{2}O).$ The feed to the reactor is $338mo\frac{l}{h}r$ with $0\mathrm{.}552$ mole fraction of A and the remaining $B.$ The reaction does not go to completion in the reactor, but the exiting components are in chemical reaction equilibrium. The stream exiting the reactor contains a mole fraction of polymer of $0\mathrm{.}147.$

Determine the component flow rates $(mo\frac{l}{h}r)$ of all components exiting the reactor.