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Finding the Fourth Proportional to 282,164.97, 423,310.19 and 132,325.40

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Solution

The fourth proportional to 282,164.97, 423,310.19 and 132,325.40 is: 198,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,164.97 : 423,310.19 = 132,325.40 : x
  2. Step 2: Convert to fraction form
    282,164.97/423,310.19 = 132,325.40/x
  3. Step 3: Cross multiply
    282,164.97x = 423,310.19 × 132,325.40
  4. Step 4: Simplify right side
    282,164.97x = 56,014,691,049.68
  5. Step 5: Solve for x
    x = 56,014,691,049.68/282,164.97
  6. Step 6: Final answer
    x = 198,517.52

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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.