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Finding the Fourth Proportional to 206,416.80, 309,625.20 and 81,757.80

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Solution

The fourth proportional to 206,416.80, 309,625.20 and 81,757.80 is: 122,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.80 : 309,625.20 = 81,757.80 : x
  2. Step 2: Convert to fraction form
    206,416.80/309,625.20 = 81,757.80/x
  3. Step 3: Cross multiply
    206,416.80x = 309,625.20 × 81,757.80
  4. Step 4: Simplify right side
    206,416.80x = 25,314,275,176.56
  5. Step 5: Solve for x
    x = 25,314,275,176.56/206,416.80
  6. Step 6: Final answer
    x = 122,636.70

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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.