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Finding the Fourth Proportional to 262,902.38, 362,805.28 and 149,735.66

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Solution

The fourth proportional to 262,902.38, 362,805.28 and 149,735.66 is: 206,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,902.38 : 362,805.28 = 149,735.66 : x
  2. Step 2: Convert to fraction form
    262,902.38/362,805.28 = 149,735.66/x
  3. Step 3: Cross multiply
    262,902.38x = 362,805.28 × 149,735.66
  4. Step 4: Simplify right side
    262,902.38x = 54,324,885,863.92
  5. Step 5: Solve for x
    x = 54,324,885,863.92/262,902.38
  6. Step 6: Final answer
    x = 206,635.20

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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.