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Finding the Fourth Proportional to 282,033.44, 422,881.12 and 132,306.56

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Solution

The fourth proportional to 282,033.44, 422,881.12 and 132,306.56 is: 198,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,033.44 : 422,881.12 = 132,306.56 : x
  2. Step 2: Convert to fraction form
    282,033.44/422,881.12 = 132,306.56/x
  3. Step 3: Cross multiply
    282,033.44x = 422,881.12 × 132,306.56
  4. Step 4: Simplify right side
    282,033.44x = 55,949,946,276.15
  5. Step 5: Solve for x
    x = 55,949,946,276.15/282,033.44
  6. Step 6: Final answer
    x = 198,380.54

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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.