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Finding the Fourth Proportional to 123,861.24, 185,791.86 and 53,739

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Solution

The fourth proportional to 123,861.24, 185,791.86 and 53,739 is: 80,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,861.24 : 185,791.86 = 53,739 : x
  2. Step 2: Convert to fraction form
    123,861.24/185,791.86 = 53,739/x
  3. Step 3: Cross multiply
    123,861.24x = 185,791.86 × 53,739
  4. Step 4: Simplify right side
    123,861.24x = 9,984,268,764.54
  5. Step 5: Solve for x
    x = 9,984,268,764.54/123,861.24
  6. Step 6: Final answer
    x = 80,608.50

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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.