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Finding the Fourth Proportional to 185,523.66, 278,129.66 and 129,197.48

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Solution

The fourth proportional to 185,523.66, 278,129.66 and 129,197.48 is: 193,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,523.66 : 278,129.66 = 129,197.48 : x
  2. Step 2: Convert to fraction form
    185,523.66/278,129.66 = 129,197.48/x
  3. Step 3: Cross multiply
    185,523.66x = 278,129.66 × 129,197.48
  4. Step 4: Simplify right side
    185,523.66x = 35,933,649,148.62
  5. Step 5: Solve for x
    x = 35,933,649,148.62/185,523.66
  6. Step 6: Final answer
    x = 193,687.69

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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.