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Finding the Fourth Proportional to 283,759.74, 425,648.52 and 106,232.85

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Solution

The fourth proportional to 283,759.74, 425,648.52 and 106,232.85 is: 159,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,759.74 : 425,648.52 = 106,232.85 : x
  2. Step 2: Convert to fraction form
    283,759.74/425,648.52 = 106,232.85/x
  3. Step 3: Cross multiply
    283,759.74x = 425,648.52 × 106,232.85
  4. Step 4: Simplify right side
    283,759.74x = 45,217,855,377.88
  5. Step 5: Solve for x
    x = 45,217,855,377.88/283,759.74
  6. Step 6: Final answer
    x = 159,352.61

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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.