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Finding the Fourth Proportional to 267,193.26, 400,780.17 and 80,199.90

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Solution

The fourth proportional to 267,193.26, 400,780.17 and 80,199.90 is: 120,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,193.26 : 400,780.17 = 80,199.90 : x
  2. Step 2: Convert to fraction form
    267,193.26/400,780.17 = 80,199.90/x
  3. Step 3: Cross multiply
    267,193.26x = 400,780.17 × 80,199.90
  4. Step 4: Simplify right side
    267,193.26x = 32,142,529,555.98
  5. Step 5: Solve for x
    x = 32,142,529,555.98/267,193.26
  6. Step 6: Final answer
    x = 120,296.93

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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.