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Finding the Fourth Proportional to 283,757.24, 425,635.86 and 96,770.36

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Solution

The fourth proportional to 283,757.24, 425,635.86 and 96,770.36 is: 145,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,757.24 : 425,635.86 = 96,770.36 : x
  2. Step 2: Convert to fraction form
    283,757.24/425,635.86 = 96,770.36/x
  3. Step 3: Cross multiply
    283,757.24x = 425,635.86 × 96,770.36
  4. Step 4: Simplify right side
    283,757.24x = 41,188,935,401.11
  5. Step 5: Solve for x
    x = 41,188,935,401.11/283,757.24
  6. Step 6: Final answer
    x = 145,155.54

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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.