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Finding the Fourth Proportional to 283,608.43, 425,474.15 and 83,942.84

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Solution

The fourth proportional to 283,608.43, 425,474.15 and 83,942.84 is: 125,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,608.43 : 425,474.15 = 83,942.84 : x
  2. Step 2: Convert to fraction form
    283,608.43/425,474.15 = 83,942.84/x
  3. Step 3: Cross multiply
    283,608.43x = 425,474.15 × 83,942.84
  4. Step 4: Simplify right side
    283,608.43x = 35,715,508,497.59
  5. Step 5: Solve for x
    x = 35,715,508,497.59/283,608.43
  6. Step 6: Final answer
    x = 125,932.46

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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.