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Finding the Fourth Proportional to 283,311.33, 425,013.15 and 83,651.90

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Solution

The fourth proportional to 283,311.33, 425,013.15 and 83,651.90 is: 125,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,311.33 : 425,013.15 = 83,651.90 : x
  2. Step 2: Convert to fraction form
    283,311.33/425,013.15 = 83,651.90/x
  3. Step 3: Cross multiply
    283,311.33x = 425,013.15 × 83,651.90
  4. Step 4: Simplify right side
    283,311.33x = 35,553,157,522.49
  5. Step 5: Solve for x
    x = 35,553,157,522.49/283,311.33
  6. Step 6: Final answer
    x = 125,491.48

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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.