Let $ABC$ be a triangle with the centroid $G$ and medians $AM, BN, CP$. Let $Q$ be a point on $AG$ such that $AQ=GQ$. Define $R,S$ as the midpoints of $BG,CG$ respectively. If $S(\triangle ABC)=x\cdot S(PQNSMR)$, what is value of $x$?

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