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Finding the Fourth Proportional to 263,297.95, 363,350.38 and 142,439.22

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Solution

The fourth proportional to 263,297.95, 363,350.38 and 142,439.22 is: 196,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,297.95 : 363,350.38 = 142,439.22 : x
  2. Step 2: Convert to fraction form
    263,297.95/363,350.38 = 142,439.22/x
  3. Step 3: Cross multiply
    263,297.95x = 363,350.38 × 142,439.22
  4. Step 4: Simplify right side
    263,297.95x = 51,755,344,713.90
  5. Step 5: Solve for x
    x = 51,755,344,713.90/263,297.95
  6. Step 6: Final answer
    x = 196,565.70

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Why These Related Problems?

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