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Finding the Fourth Proportional to 129,042.62, 178,080.90 and 71,685.61

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Solution

The fourth proportional to 129,042.62, 178,080.90 and 71,685.61 is: 98,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,042.62 : 178,080.90 = 71,685.61 : x
  2. Step 2: Convert to fraction form
    129,042.62/178,080.90 = 71,685.61/x
  3. Step 3: Cross multiply
    129,042.62x = 178,080.90 × 71,685.61
  4. Step 4: Simplify right side
    129,042.62x = 12,765,837,231.83
  5. Step 5: Solve for x
    x = 12,765,837,231.83/129,042.62
  6. Step 6: Final answer
    x = 98,927.30

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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.