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Finding the Fourth Proportional to 129,013.46, 178,037.34 and 72,424.43

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Solution

The fourth proportional to 129,013.46, 178,037.34 and 72,424.43 is: 99,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013.46 : 178,037.34 = 72,424.43 : x
  2. Step 2: Convert to fraction form
    129,013.46/178,037.34 = 72,424.43/x
  3. Step 3: Cross multiply
    129,013.46x = 178,037.34 × 72,424.43
  4. Step 4: Simplify right side
    129,013.46x = 12,894,252,781.47
  5. Step 5: Solve for x
    x = 12,894,252,781.47/129,013.46
  6. Step 6: Final answer
    x = 99,945.02

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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.