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Finding the Fourth Proportional to 97,735.91, 134,806 and 89,695.53

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Solution

The fourth proportional to 97,735.91, 134,806 and 89,695.53 is: 123,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735.91 : 134,806 = 89,695.53 : x
  2. Step 2: Convert to fraction form
    97,735.91/134,806 = 89,695.53/x
  3. Step 3: Cross multiply
    97,735.91x = 134,806 × 89,695.53
  4. Step 4: Simplify right side
    97,735.91x = 12,091,495,617.18
  5. Step 5: Solve for x
    x = 12,091,495,617.18/97,735.91
  6. Step 6: Final answer
    x = 123,716.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.