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Finding the Fourth Proportional to 361,514.10, 542,268.42 and 108,793.50

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Solution

The fourth proportional to 361,514.10, 542,268.42 and 108,793.50 is: 163,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,514.10 : 542,268.42 = 108,793.50 : x
  2. Step 2: Convert to fraction form
    361,514.10/542,268.42 = 108,793.50/x
  3. Step 3: Cross multiply
    361,514.10x = 542,268.42 × 108,793.50
  4. Step 4: Simplify right side
    361,514.10x = 58,995,279,351.27
  5. Step 5: Solve for x
    x = 58,995,279,351.27/361,514.10
  6. Step 6: Final answer
    x = 163,189.43

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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.