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Finding the Fourth Proportional to 279,635.10, 419,452.65 and 102,147.90

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Solution

The fourth proportional to 279,635.10, 419,452.65 and 102,147.90 is: 153,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,635.10 : 419,452.65 = 102,147.90 : x
  2. Step 2: Convert to fraction form
    279,635.10/419,452.65 = 102,147.90/x
  3. Step 3: Cross multiply
    279,635.10x = 419,452.65 × 102,147.90
  4. Step 4: Simplify right side
    279,635.10x = 42,846,207,346.94
  5. Step 5: Solve for x
    x = 42,846,207,346.94/279,635.10
  6. Step 6: Final answer
    x = 153,221.85

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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.