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Finding the Fourth Proportional to 129,084.69, 178,139.16 and 71,729.31

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Solution

The fourth proportional to 129,084.69, 178,139.16 and 71,729.31 is: 98,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,084.69 : 178,139.16 = 71,729.31 : x
  2. Step 2: Convert to fraction form
    129,084.69/178,139.16 = 71,729.31/x
  3. Step 3: Cross multiply
    129,084.69x = 178,139.16 × 71,729.31
  4. Step 4: Simplify right side
    129,084.69x = 12,777,799,030.78
  5. Step 5: Solve for x
    x = 12,777,799,030.78/129,084.69
  6. Step 6: Final answer
    x = 98,987.72

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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.