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Finding the Fourth Proportional to 274,704.62, 412,197.56 and 130,773.32

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Solution

The fourth proportional to 274,704.62, 412,197.56 and 130,773.32 is: 196,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,704.62 : 412,197.56 = 130,773.32 : x
  2. Step 2: Convert to fraction form
    274,704.62/412,197.56 = 130,773.32/x
  3. Step 3: Cross multiply
    274,704.62x = 412,197.56 × 130,773.32
  4. Step 4: Simplify right side
    274,704.62x = 53,904,442,738.39
  5. Step 5: Solve for x
    x = 53,904,442,738.39/274,704.62
  6. Step 6: Final answer
    x = 196,226.93

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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.