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Finding the Fourth Proportional to 200,531.20, 300,966.90 and 82,287.40

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Solution

The fourth proportional to 200,531.20, 300,966.90 and 82,287.40 is: 123,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531.20 : 300,966.90 = 82,287.40 : x
  2. Step 2: Convert to fraction form
    200,531.20/300,966.90 = 82,287.40/x
  3. Step 3: Cross multiply
    200,531.20x = 300,966.90 × 82,287.40
  4. Step 4: Simplify right side
    200,531.20x = 24,765,783,687.06
  5. Step 5: Solve for x
    x = 24,765,783,687.06/200,531.20
  6. Step 6: Final answer
    x = 123,500.90

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