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Finding the Fourth Proportional to 394,101.72, 591,235.61 and 127,841.45

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Solution

The fourth proportional to 394,101.72, 591,235.61 and 127,841.45 is: 191,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,101.72 : 591,235.61 = 127,841.45 : x
  2. Step 2: Convert to fraction form
    394,101.72/591,235.61 = 127,841.45/x
  3. Step 3: Cross multiply
    394,101.72x = 591,235.61 × 127,841.45
  4. Step 4: Simplify right side
    394,101.72x = 75,584,414,078.65
  5. Step 5: Solve for x
    x = 75,584,414,078.65/394,101.72
  6. Step 6: Final answer
    x = 191,789.10

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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.