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Finding the Fourth Proportional to 206,665.92, 285,202.08 and 199,514.40

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Solution

The fourth proportional to 206,665.92, 285,202.08 and 199,514.40 is: 275,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,665.92 : 285,202.08 = 199,514.40 : x
  2. Step 2: Convert to fraction form
    206,665.92/285,202.08 = 199,514.40/x
  3. Step 3: Cross multiply
    206,665.92x = 285,202.08 × 199,514.40
  4. Step 4: Simplify right side
    206,665.92x = 56,901,921,869.95
  5. Step 5: Solve for x
    x = 56,901,921,869.95/206,665.92
  6. Step 6: Final answer
    x = 275,332.87

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1.5x scale

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.