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Finding the Fourth Proportional to 206,952.30, 310,428.45 and 82,293.30

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Solution

The fourth proportional to 206,952.30, 310,428.45 and 82,293.30 is: 123,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.30 : 310,428.45 = 82,293.30 : x
  2. Step 2: Convert to fraction form
    206,952.30/310,428.45 = 82,293.30/x
  3. Step 3: Cross multiply
    206,952.30x = 310,428.45 × 82,293.30
  4. Step 4: Simplify right side
    206,952.30x = 25,546,181,564.39
  5. Step 5: Solve for x
    x = 25,546,181,564.39/206,952.30
  6. Step 6: Final answer
    x = 123,439.95

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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.