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Finding the Fourth Proportional to 283,677.44, 425,517.56 and 84,001.60

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Solution

The fourth proportional to 283,677.44, 425,517.56 and 84,001.60 is: 126,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,677.44 : 425,517.56 = 84,001.60 : x
  2. Step 2: Convert to fraction form
    283,677.44/425,517.56 = 84,001.60/x
  3. Step 3: Cross multiply
    283,677.44x = 425,517.56 × 84,001.60
  4. Step 4: Simplify right side
    283,677.44x = 35,744,155,868.10
  5. Step 5: Solve for x
    x = 35,744,155,868.10/283,677.44
  6. Step 6: Final answer
    x = 126,002.81

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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.