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Finding the Fourth Proportional to 129,082.50, 178,142.94 and 72,493.92

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Solution

The fourth proportional to 129,082.50, 178,142.94 and 72,493.92 is: 100,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,082.50 : 178,142.94 = 72,493.92 : x
  2. Step 2: Convert to fraction form
    129,082.50/178,142.94 = 72,493.92/x
  3. Step 3: Cross multiply
    129,082.50x = 178,142.94 × 72,493.92
  4. Step 4: Simplify right side
    129,082.50x = 12,914,280,040.92
  5. Step 5: Solve for x
    x = 12,914,280,040.92/129,082.50
  6. Step 6: Final answer
    x = 100,046.71

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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.