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Finding the Fourth Proportional to 129,321.38, 178,461.77 and 72,732.76

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Solution

The fourth proportional to 129,321.38, 178,461.77 and 72,732.76 is: 100,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,321.38 : 178,461.77 = 72,732.76 : x
  2. Step 2: Convert to fraction form
    129,321.38/178,461.77 = 72,732.76/x
  3. Step 3: Cross multiply
    129,321.38x = 178,461.77 × 72,732.76
  4. Step 4: Simplify right side
    129,321.38x = 12,980,016,276.77
  5. Step 5: Solve for x
    x = 12,980,016,276.77/129,321.38
  6. Step 6: Final answer
    x = 100,370.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.