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Finding the Fourth Proportional to 206,676.80, 285,245.11 and 126,151.11

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Solution

The fourth proportional to 206,676.80, 285,245.11 and 126,151.11 is: 174,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,676.80 : 285,245.11 = 126,151.11 : x
  2. Step 2: Convert to fraction form
    206,676.80/285,245.11 = 126,151.11/x
  3. Step 3: Cross multiply
    206,676.80x = 285,245.11 × 126,151.11
  4. Step 4: Simplify right side
    206,676.80x = 35,983,989,076.30
  5. Step 5: Solve for x
    x = 35,983,989,076.30/206,676.80
  6. Step 6: Final answer
    x = 174,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.