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Finding the Fourth Proportional to 187,228.80, 280,843.20 and 82,252.80

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Solution

The fourth proportional to 187,228.80, 280,843.20 and 82,252.80 is: 123,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,228.80 : 280,843.20 = 82,252.80 : x
  2. Step 2: Convert to fraction form
    187,228.80/280,843.20 = 82,252.80/x
  3. Step 3: Cross multiply
    187,228.80x = 280,843.20 × 82,252.80
  4. Step 4: Simplify right side
    187,228.80x = 23,100,139,560.96
  5. Step 5: Solve for x
    x = 23,100,139,560.96/187,228.80
  6. Step 6: Final answer
    x = 123,379.20

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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.