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Finding the Fourth Proportional to 129,414.14, 194,092.05 and 50,487.74

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Solution

The fourth proportional to 129,414.14, 194,092.05 and 50,487.74 is: 75,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,414.14 : 194,092.05 = 50,487.74 : x
  2. Step 2: Convert to fraction form
    129,414.14/194,092.05 = 50,487.74/x
  3. Step 3: Cross multiply
    129,414.14x = 194,092.05 × 50,487.74
  4. Step 4: Simplify right side
    129,414.14x = 9,799,269,631.03
  5. Step 5: Solve for x
    x = 9,799,269,631.03/129,414.14
  6. Step 6: Final answer
    x = 75,720.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.