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Finding the Fourth Proportional to 129,881.76, 179,217 and 82,200.30

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Solution

The fourth proportional to 129,881.76, 179,217 and 82,200.30 is: 113,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,881.76 : 179,217 = 82,200.30 : x
  2. Step 2: Convert to fraction form
    129,881.76/179,217 = 82,200.30/x
  3. Step 3: Cross multiply
    129,881.76x = 179,217 × 82,200.30
  4. Step 4: Simplify right side
    129,881.76x = 14,731,691,165.10
  5. Step 5: Solve for x
    x = 14,731,691,165.10/129,881.76
  6. Step 6: Final answer
    x = 113,423.86

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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.