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Finding the Fourth Proportional to 394,078.31, 591,200.54 and 127,818.12

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Solution

The fourth proportional to 394,078.31, 591,200.54 and 127,818.12 is: 191,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,078.31 : 591,200.54 = 127,818.12 : x
  2. Step 2: Convert to fraction form
    394,078.31/591,200.54 = 127,818.12/x
  3. Step 3: Cross multiply
    394,078.31x = 591,200.54 × 127,818.12
  4. Step 4: Simplify right side
    394,078.31x = 75,566,141,565.78
  5. Step 5: Solve for x
    x = 75,566,141,565.78/394,078.31
  6. Step 6: Final answer
    x = 191,754.13

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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.