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Finding the Fourth Proportional to 234,107.10, 323,067.15 and 126,678.96

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Solution

The fourth proportional to 234,107.10, 323,067.15 and 126,678.96 is: 174,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,107.10 : 323,067.15 = 126,678.96 : x
  2. Step 2: Convert to fraction form
    234,107.10/323,067.15 = 126,678.96/x
  3. Step 3: Cross multiply
    234,107.10x = 323,067.15 × 126,678.96
  4. Step 4: Simplify right side
    234,107.10x = 40,925,810,572.16
  5. Step 5: Solve for x
    x = 40,925,810,572.16/234,107.10
  6. Step 6: Final answer
    x = 174,816.61

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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.