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Finding the Fourth Proportional to 234,201.92, 323,198.71 and 126,771.62

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Solution

The fourth proportional to 234,201.92, 323,198.71 and 126,771.62 is: 174,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,201.92 : 323,198.71 = 126,771.62 : x
  2. Step 2: Convert to fraction form
    234,201.92/323,198.71 = 126,771.62/x
  3. Step 3: Cross multiply
    234,201.92x = 323,198.71 × 126,771.62
  4. Step 4: Simplify right side
    234,201.92x = 40,972,422,115.69
  5. Step 5: Solve for x
    x = 40,972,422,115.69/234,201.92
  6. Step 6: Final answer
    x = 174,944.86

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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.