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Finding the Fourth Proportional to 263,227.74, 363,253.20 and 142,369.16

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Solution

The fourth proportional to 263,227.74, 363,253.20 and 142,369.16 is: 196,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,227.74 : 363,253.20 = 142,369.16 : x
  2. Step 2: Convert to fraction form
    263,227.74/363,253.20 = 142,369.16/x
  3. Step 3: Cross multiply
    263,227.74x = 363,253.20 × 142,369.16
  4. Step 4: Simplify right side
    263,227.74x = 51,716,052,951.31
  5. Step 5: Solve for x
    x = 51,716,052,951.31/263,227.74
  6. Step 6: Final answer
    x = 196,468.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.