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Finding the Fourth Proportional to 187,227.80, 280,841.70 and 82,251.80

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Solution

The fourth proportional to 187,227.80, 280,841.70 and 82,251.80 is: 123,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,227.80 : 280,841.70 = 82,251.80 : x
  2. Step 2: Convert to fraction form
    187,227.80/280,841.70 = 82,251.80/x
  3. Step 3: Cross multiply
    187,227.80x = 280,841.70 × 82,251.80
  4. Step 4: Simplify right side
    187,227.80x = 23,099,735,340.06
  5. Step 5: Solve for x
    x = 23,099,735,340.06/187,227.80
  6. Step 6: Final answer
    x = 123,377.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.