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Finding the Fourth Proportional to 102,522.16, 141,480.14 and 57,200.17

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Solution

The fourth proportional to 102,522.16, 141,480.14 and 57,200.17 is: 78,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.16 : 141,480.14 = 57,200.17 : x
  2. Step 2: Convert to fraction form
    102,522.16/141,480.14 = 57,200.17/x
  3. Step 3: Cross multiply
    102,522.16x = 141,480.14 × 57,200.17
  4. Step 4: Simplify right side
    102,522.16x = 8,092,688,059.62
  5. Step 5: Solve for x
    x = 8,092,688,059.62/102,522.16
  6. Step 6: Final answer
    x = 78,935.99

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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.