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Finding the Fourth Proportional to 129,105.36, 178,165.50 and 72,516.78

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Solution

The fourth proportional to 129,105.36, 178,165.50 and 72,516.78 is: 100,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,105.36 : 178,165.50 = 72,516.78 : x
  2. Step 2: Convert to fraction form
    129,105.36/178,165.50 = 72,516.78/x
  3. Step 3: Cross multiply
    129,105.36x = 178,165.50 × 72,516.78
  4. Step 4: Simplify right side
    129,105.36x = 12,919,988,367.09
  5. Step 5: Solve for x
    x = 12,919,988,367.09/129,105.36
  6. Step 6: Final answer
    x = 100,073.21

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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.