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Finding the Fourth Proportional to 204,704.10, 307,286.55 and 158,163.30

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Solution

The fourth proportional to 204,704.10, 307,286.55 and 158,163.30 is: 237,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,704.10 : 307,286.55 = 158,163.30 : x
  2. Step 2: Convert to fraction form
    204,704.10/307,286.55 = 158,163.30/x
  3. Step 3: Cross multiply
    204,704.10x = 307,286.55 × 158,163.30
  4. Step 4: Simplify right side
    204,704.10x = 48,601,454,793.62
  5. Step 5: Solve for x
    x = 48,601,454,793.62/204,704.10
  6. Step 6: Final answer
    x = 237,422.97

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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.