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Finding the Fourth Proportional to 275,432.60, 413,124.60 and 75,735.20

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Solution

The fourth proportional to 275,432.60, 413,124.60 and 75,735.20 is: 113,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,432.60 : 413,124.60 = 75,735.20 : x
  2. Step 2: Convert to fraction form
    275,432.60/413,124.60 = 75,735.20/x
  3. Step 3: Cross multiply
    275,432.60x = 413,124.60 × 75,735.20
  4. Step 4: Simplify right side
    275,432.60x = 31,288,074,205.92
  5. Step 5: Solve for x
    x = 31,288,074,205.92/275,432.60
  6. Step 6: Final answer
    x = 113,596.12

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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.