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Finding the Fourth Proportional to 80,174.17, 120,224.20 and 45,113.83

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Solution

The fourth proportional to 80,174.17, 120,224.20 and 45,113.83 is: 67,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,174.17 : 120,224.20 = 45,113.83 : x
  2. Step 2: Convert to fraction form
    80,174.17/120,224.20 = 45,113.83/x
  3. Step 3: Cross multiply
    80,174.17x = 120,224.20 × 45,113.83
  4. Step 4: Simplify right side
    80,174.17x = 5,423,773,791.93
  5. Step 5: Solve for x
    x = 5,423,773,791.93/80,174.17
  6. Step 6: Final answer
    x = 67,649.89

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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.