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Finding the Fourth Proportional to 129,097.13, 178,154.10 and 72,508.50

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Solution

The fourth proportional to 129,097.13, 178,154.10 and 72,508.50 is: 100,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097.13 : 178,154.10 = 72,508.50 : x
  2. Step 2: Convert to fraction form
    129,097.13/178,154.10 = 72,508.50/x
  3. Step 3: Cross multiply
    129,097.13x = 178,154.10 × 72,508.50
  4. Step 4: Simplify right side
    129,097.13x = 12,917,686,559.85
  5. Step 5: Solve for x
    x = 12,917,686,559.85/129,097.13
  6. Step 6: Final answer
    x = 100,061.77

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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.