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Finding the Fourth Proportional to 206,514.60, 309,311.10 and 169,650.60

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Solution

The fourth proportional to 206,514.60, 309,311.10 and 169,650.60 is: 254,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514.60 : 309,311.10 = 169,650.60 : x
  2. Step 2: Convert to fraction form
    206,514.60/309,311.10 = 169,650.60/x
  3. Step 3: Cross multiply
    206,514.60x = 309,311.10 × 169,650.60
  4. Step 4: Simplify right side
    206,514.60x = 52,474,813,701.66
  5. Step 5: Solve for x
    x = 52,474,813,701.66/206,514.60
  6. Step 6: Final answer
    x = 254,097.36

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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.