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Finding the Fourth Proportional to 283,548.73, 425,323.10 and 83,853.56

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Solution

The fourth proportional to 283,548.73, 425,323.10 and 83,853.56 is: 125,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,548.73 : 425,323.10 = 83,853.56 : x
  2. Step 2: Convert to fraction form
    283,548.73/425,323.10 = 83,853.56/x
  3. Step 3: Cross multiply
    283,548.73x = 425,323.10 × 83,853.56
  4. Step 4: Simplify right side
    283,548.73x = 35,664,856,729.28
  5. Step 5: Solve for x
    x = 35,664,856,729.28/283,548.73
  6. Step 6: Final answer
    x = 125,780.34

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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.