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Finding the Fourth Proportional to 206,589.42, 309,593.14 and 164,281.77

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Solution

The fourth proportional to 206,589.42, 309,593.14 and 164,281.77 is: 246,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589.42 : 309,593.14 = 164,281.77 : x
  2. Step 2: Convert to fraction form
    206,589.42/309,593.14 = 164,281.77/x
  3. Step 3: Cross multiply
    206,589.42x = 309,593.14 × 164,281.77
  4. Step 4: Simplify right side
    206,589.42x = 50,860,508,608.35
  5. Step 5: Solve for x
    x = 50,860,508,608.35/206,589.42
  6. Step 6: Final answer
    x = 246,191.26

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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.