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Finding the Fourth Proportional to 283,562.53, 425,342.25 and 83,883.97

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Solution

The fourth proportional to 283,562.53, 425,342.25 and 83,883.97 is: 125,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,562.53 : 425,342.25 = 83,883.97 : x
  2. Step 2: Convert to fraction form
    283,562.53/425,342.25 = 83,883.97/x
  3. Step 3: Cross multiply
    283,562.53x = 425,342.25 × 83,883.97
  4. Step 4: Simplify right side
    283,562.53x = 35,679,396,538.73
  5. Step 5: Solve for x
    x = 35,679,396,538.73/283,562.53
  6. Step 6: Final answer
    x = 125,825.50

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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.