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Finding the Fourth Proportional to 263,753.70, 395,397.27 and 123,474.66

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Solution

The fourth proportional to 263,753.70, 395,397.27 and 123,474.66 is: 185,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,753.70 : 395,397.27 = 123,474.66 : x
  2. Step 2: Convert to fraction form
    263,753.70/395,397.27 = 123,474.66/x
  3. Step 3: Cross multiply
    263,753.70x = 395,397.27 × 123,474.66
  4. Step 4: Simplify right side
    263,753.70x = 48,821,543,478.18
  5. Step 5: Solve for x
    x = 48,821,543,478.18/263,753.70
  6. Step 6: Final answer
    x = 185,102.78

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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.