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Finding the Fourth Proportional to 156,496.50, 215,965.17 and 89,428.50

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Solution

The fourth proportional to 156,496.50, 215,965.17 and 89,428.50 is: 123,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,496.50 : 215,965.17 = 89,428.50 : x
  2. Step 2: Convert to fraction form
    156,496.50/215,965.17 = 89,428.50/x
  3. Step 3: Cross multiply
    156,496.50x = 215,965.17 × 89,428.50
  4. Step 4: Simplify right side
    156,496.50x = 19,313,441,205.35
  5. Step 5: Solve for x
    x = 19,313,441,205.35/156,496.50
  6. Step 6: Final answer
    x = 123,411.33

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