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Finding the Fourth Proportional to 394,102.10, 591,236.17 and 127,841.82

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Solution

The fourth proportional to 394,102.10, 591,236.17 and 127,841.82 is: 191,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,102.10 : 591,236.17 = 127,841.82 : x
  2. Step 2: Convert to fraction form
    394,102.10/591,236.17 = 127,841.82/x
  3. Step 3: Cross multiply
    394,102.10x = 591,236.17 × 127,841.82
  4. Step 4: Simplify right side
    394,102.10x = 75,584,707,703.02
  5. Step 5: Solve for x
    x = 75,584,707,703.02/394,102.10
  6. Step 6: Final answer
    x = 191,789.66

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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.