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Finding the Fourth Proportional to 260,778.24, 391,147.92 and 83,304

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Solution

The fourth proportional to 260,778.24, 391,147.92 and 83,304 is: 124,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,778.24 : 391,147.92 = 83,304 : x
  2. Step 2: Convert to fraction form
    260,778.24/391,147.92 = 83,304/x
  3. Step 3: Cross multiply
    260,778.24x = 391,147.92 × 83,304
  4. Step 4: Simplify right side
    260,778.24x = 32,584,186,327.68
  5. Step 5: Solve for x
    x = 32,584,186,327.68/260,778.24
  6. Step 6: Final answer
    x = 124,949.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.