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Finding the Fourth Proportional to 206,081.20, 308,830.20 and 181,003.60

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Solution

The fourth proportional to 206,081.20, 308,830.20 and 181,003.60 is: 271,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,081.20 : 308,830.20 = 181,003.60 : x
  2. Step 2: Convert to fraction form
    206,081.20/308,830.20 = 181,003.60/x
  3. Step 3: Cross multiply
    206,081.20x = 308,830.20 × 181,003.60
  4. Step 4: Simplify right side
    206,081.20x = 55,899,377,988.72
  5. Step 5: Solve for x
    x = 55,899,377,988.72/206,081.20
  6. Step 6: Final answer
    x = 271,249.28

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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.