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Finding the Fourth Proportional to 276,888.38, 382,106.11 and 149,563.97

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Solution

The fourth proportional to 276,888.38, 382,106.11 and 149,563.97 is: 206,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,888.38 : 382,106.11 = 149,563.97 : x
  2. Step 2: Convert to fraction form
    276,888.38/382,106.11 = 149,563.97/x
  3. Step 3: Cross multiply
    276,888.38x = 382,106.11 × 149,563.97
  4. Step 4: Simplify right side
    276,888.38x = 57,149,306,201.75
  5. Step 5: Solve for x
    x = 57,149,306,201.75/276,888.38
  6. Step 6: Final answer
    x = 206,398.36

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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.