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Finding the Fourth Proportional to 263,471.74, 363,591.59 and 142,614.07

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Solution

The fourth proportional to 263,471.74, 363,591.59 and 142,614.07 is: 196,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,471.74 : 363,591.59 = 142,614.07 : x
  2. Step 2: Convert to fraction form
    263,471.74/363,591.59 = 142,614.07/x
  3. Step 3: Cross multiply
    263,471.74x = 363,591.59 × 142,614.07
  4. Step 4: Simplify right side
    263,471.74x = 51,853,274,845.62
  5. Step 5: Solve for x
    x = 51,853,274,845.62/263,471.74
  6. Step 6: Final answer
    x = 196,807.73

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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.