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Finding the Fourth Proportional to 206,745.77, 285,340.01 and 126,219.97

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Solution

The fourth proportional to 206,745.77, 285,340.01 and 126,219.97 is: 174,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,745.77 : 285,340.01 = 126,219.97 : x
  2. Step 2: Convert to fraction form
    206,745.77/285,340.01 = 126,219.97/x
  3. Step 3: Cross multiply
    206,745.77x = 285,340.01 × 126,219.97
  4. Step 4: Simplify right side
    206,745.77x = 36,015,607,104.20
  5. Step 5: Solve for x
    x = 36,015,607,104.20/206,745.77
  6. Step 6: Final answer
    x = 174,202.39

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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.