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Finding the Fourth Proportional to 204,311.70, 306,468.95 and 71,194.50

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Solution

The fourth proportional to 204,311.70, 306,468.95 and 71,194.50 is: 106,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,311.70 : 306,468.95 = 71,194.50 : x
  2. Step 2: Convert to fraction form
    204,311.70/306,468.95 = 71,194.50/x
  3. Step 3: Cross multiply
    204,311.70x = 306,468.95 × 71,194.50
  4. Step 4: Simplify right side
    204,311.70x = 21,818,903,304.80
  5. Step 5: Solve for x
    x = 21,818,903,304.80/204,311.70
  6. Step 6: Final answer
    x = 106,792.24

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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.