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Finding the Fourth Proportional to 283,310.08, 425,011.28 and 83,650.65

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Solution

The fourth proportional to 283,310.08, 425,011.28 and 83,650.65 is: 125,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,310.08 : 425,011.28 = 83,650.65 : x
  2. Step 2: Convert to fraction form
    283,310.08/425,011.28 = 83,650.65/x
  3. Step 3: Cross multiply
    283,310.08x = 425,011.28 × 83,650.65
  4. Step 4: Simplify right side
    283,310.08x = 35,552,469,829.33
  5. Step 5: Solve for x
    x = 35,552,469,829.33/283,310.08
  6. Step 6: Final answer
    x = 125,489.60

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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.