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Finding the Fourth Proportional to 276,892.52, 382,111.85 and 149,568.17

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Solution

The fourth proportional to 276,892.52, 382,111.85 and 149,568.17 is: 206,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,892.52 : 382,111.85 = 149,568.17 : x
  2. Step 2: Convert to fraction form
    276,892.52/382,111.85 = 149,568.17/x
  3. Step 3: Cross multiply
    276,892.52x = 382,111.85 × 149,568.17
  4. Step 4: Simplify right side
    276,892.52x = 57,151,769,391.97
  5. Step 5: Solve for x
    x = 57,151,769,391.97/276,892.52
  6. Step 6: Final answer
    x = 206,404.17

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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.