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Finding the Fourth Proportional to 269,854.32, 404,458.92 and 125,565.24

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Solution

The fourth proportional to 269,854.32, 404,458.92 and 125,565.24 is: 188,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,854.32 : 404,458.92 = 125,565.24 : x
  2. Step 2: Convert to fraction form
    269,854.32/404,458.92 = 125,565.24/x
  3. Step 3: Cross multiply
    269,854.32x = 404,458.92 × 125,565.24
  4. Step 4: Simplify right side
    269,854.32x = 50,785,981,359.94
  5. Step 5: Solve for x
    x = 50,785,981,359.94/269,854.32
  6. Step 6: Final answer
    x = 188,197.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.