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Finding the Fourth Proportional to 218,421.60, 327,781.96 and 76,266.83

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Solution

The fourth proportional to 218,421.60, 327,781.96 and 76,266.83 is: 114,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,421.60 : 327,781.96 = 76,266.83 : x
  2. Step 2: Convert to fraction form
    218,421.60/327,781.96 = 76,266.83/x
  3. Step 3: Cross multiply
    218,421.60x = 327,781.96 × 76,266.83
  4. Step 4: Simplify right side
    218,421.60x = 24,998,891,649.17
  5. Step 5: Solve for x
    x = 24,998,891,649.17/218,421.60
  6. Step 6: Final answer
    x = 114,452.47

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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.