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Finding the Fourth Proportional to 204,080.92, 281,687.22 and 132,456.76

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Solution

The fourth proportional to 204,080.92, 281,687.22 and 132,456.76 is: 182,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,080.92 : 281,687.22 = 132,456.76 : x
  2. Step 2: Convert to fraction form
    204,080.92/281,687.22 = 132,456.76/x
  3. Step 3: Cross multiply
    204,080.92x = 281,687.22 × 132,456.76
  4. Step 4: Simplify right side
    204,080.92x = 37,311,376,494.61
  5. Step 5: Solve for x
    x = 37,311,376,494.61/204,080.92
  6. Step 6: Final answer
    x = 182,826.38

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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.