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Finding the Fourth Proportional to 202,046.62, 278,710.17 and 126,463.90

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Solution

The fourth proportional to 202,046.62, 278,710.17 and 126,463.90 is: 174,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046.62 : 278,710.17 = 126,463.90 : x
  2. Step 2: Convert to fraction form
    202,046.62/278,710.17 = 126,463.90/x
  3. Step 3: Cross multiply
    202,046.62x = 278,710.17 × 126,463.90
  4. Step 4: Simplify right side
    202,046.62x = 35,246,775,067.86
  5. Step 5: Solve for x
    x = 35,246,775,067.86/202,046.62
  6. Step 6: Final answer
    x = 174,448.72

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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.