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Finding the Fourth Proportional to 204,785.76, 282,451.68 and 181,843.32

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Solution

The fourth proportional to 204,785.76, 282,451.68 and 181,843.32 is: 250,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,785.76 : 282,451.68 = 181,843.32 : x
  2. Step 2: Convert to fraction form
    204,785.76/282,451.68 = 181,843.32/x
  3. Step 3: Cross multiply
    204,785.76x = 282,451.68 × 181,843.32
  4. Step 4: Simplify right side
    204,785.76x = 51,361,951,230.78
  5. Step 5: Solve for x
    x = 51,361,951,230.78/204,785.76
  6. Step 6: Final answer
    x = 250,808.22

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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.