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Finding the Fourth Proportional to 129,101.69, 178,156.48 and 71,740.83

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Solution

The fourth proportional to 129,101.69, 178,156.48 and 71,740.83 is: 99,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,101.69 : 178,156.48 = 71,740.83 : x
  2. Step 2: Convert to fraction form
    129,101.69/178,156.48 = 71,740.83/x
  3. Step 3: Cross multiply
    129,101.69x = 178,156.48 × 71,740.83
  4. Step 4: Simplify right side
    129,101.69x = 12,781,093,745.08
  5. Step 5: Solve for x
    x = 12,781,093,745.08/129,101.69
  6. Step 6: Final answer
    x = 99,000.20

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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.