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Finding the Fourth Proportional to 276,960.38, 382,205.50 and 149,635.94

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Solution

The fourth proportional to 276,960.38, 382,205.50 and 149,635.94 is: 206,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,960.38 : 382,205.50 = 149,635.94 : x
  2. Step 2: Convert to fraction form
    276,960.38/382,205.50 = 149,635.94/x
  3. Step 3: Cross multiply
    276,960.38x = 382,205.50 × 149,635.94
  4. Step 4: Simplify right side
    276,960.38x = 57,191,679,265.67
  5. Step 5: Solve for x
    x = 57,191,679,265.67/276,960.38
  6. Step 6: Final answer
    x = 206,497.69

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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.