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Finding the Fourth Proportional to 276,912.38, 382,139.09 and 149,587.98

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Solution

The fourth proportional to 276,912.38, 382,139.09 and 149,587.98 is: 206,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,912.38 : 382,139.09 = 149,587.98 : x
  2. Step 2: Convert to fraction form
    276,912.38/382,139.09 = 149,587.98/x
  3. Step 3: Cross multiply
    276,912.38x = 382,139.09 × 149,587.98
  4. Step 4: Simplify right side
    276,912.38x = 57,163,413,804.20
  5. Step 5: Solve for x
    x = 57,163,413,804.20/276,912.38
  6. Step 6: Final answer
    x = 206,431.42

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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.