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Finding the Fourth Proportional to 129,147.30, 178,222.06 and 71,785.12

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Solution

The fourth proportional to 129,147.30, 178,222.06 and 71,785.12 is: 99,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,147.30 : 178,222.06 = 71,785.12 : x
  2. Step 2: Convert to fraction form
    129,147.30/178,222.06 = 71,785.12/x
  3. Step 3: Cross multiply
    129,147.30x = 178,222.06 × 71,785.12
  4. Step 4: Simplify right side
    129,147.30x = 12,793,691,963.75
  5. Step 5: Solve for x
    x = 12,793,691,963.75/129,147.30
  6. Step 6: Final answer
    x = 99,062.79

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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.