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Finding the Fourth Proportional to 206,169.92, 284,514.53 and 125,597.42

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Solution

The fourth proportional to 206,169.92, 284,514.53 and 125,597.42 is: 173,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,169.92 : 284,514.53 = 125,597.42 : x
  2. Step 2: Convert to fraction form
    206,169.92/284,514.53 = 125,597.42/x
  3. Step 3: Cross multiply
    206,169.92x = 284,514.53 × 125,597.42
  4. Step 4: Simplify right side
    206,169.92x = 35,734,288,869.95
  5. Step 5: Solve for x
    x = 35,734,288,869.95/206,169.92
  6. Step 6: Final answer
    x = 173,324.46

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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.