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Finding the Fourth Proportional to 394,104.19, 591,239.31 and 127,843.92

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Solution

The fourth proportional to 394,104.19, 591,239.31 and 127,843.92 is: 191,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,104.19 : 591,239.31 = 127,843.92 : x
  2. Step 2: Convert to fraction form
    394,104.19/591,239.31 = 127,843.92/x
  3. Step 3: Cross multiply
    394,104.19x = 591,239.31 × 127,843.92
  4. Step 4: Simplify right side
    394,104.19x = 75,586,348,092.30
  5. Step 5: Solve for x
    x = 75,586,348,092.30/394,104.19
  6. Step 6: Final answer
    x = 191,792.81

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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.