An Algebra Problem

p+1q+1r+1s=8968\Large p + \cfrac{1}{q+\cfrac{1}{r+\cfrac{1}{s}}} = \frac{89}{68}

Given that p,q,r,p, q, r, and ss are natural numbers such that they satisfy the equation above, find the value of pq+rspq + rs.

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