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Finding the Fourth Proportional to 206,086.20, 308,837.70 and 181,008.60

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Solution

The fourth proportional to 206,086.20, 308,837.70 and 181,008.60 is: 271,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,086.20 : 308,837.70 = 181,008.60 : x
  2. Step 2: Convert to fraction form
    206,086.20/308,837.70 = 181,008.60/x
  3. Step 3: Cross multiply
    206,086.20x = 308,837.70 × 181,008.60
  4. Step 4: Simplify right side
    206,086.20x = 55,902,279,704.22
  5. Step 5: Solve for x
    x = 55,902,279,704.22/206,086.20
  6. Step 6: Final answer
    x = 271,256.78

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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.