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Finding the Fourth Proportional to 272,318.20, 408,477.30 and 82,778.20

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Solution

The fourth proportional to 272,318.20, 408,477.30 and 82,778.20 is: 124,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,318.20 : 408,477.30 = 82,778.20 : x
  2. Step 2: Convert to fraction form
    272,318.20/408,477.30 = 82,778.20/x
  3. Step 3: Cross multiply
    272,318.20x = 408,477.30 × 82,778.20
  4. Step 4: Simplify right side
    272,318.20x = 33,813,015,634.86
  5. Step 5: Solve for x
    x = 33,813,015,634.86/272,318.20
  6. Step 6: Final answer
    x = 124,167.30

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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.