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Finding the Fourth Proportional to 204,282.37, 306,564.50 and 71,163.73

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Solution

The fourth proportional to 204,282.37, 306,564.50 and 71,163.73 is: 106,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,282.37 : 306,564.50 = 71,163.73 : x
  2. Step 2: Convert to fraction form
    204,282.37/306,564.50 = 71,163.73/x
  3. Step 3: Cross multiply
    204,282.37x = 306,564.50 × 71,163.73
  4. Step 4: Simplify right side
    204,282.37x = 21,816,273,305.59
  5. Step 5: Solve for x
    x = 21,816,273,305.59/204,282.37
  6. Step 6: Final answer
    x = 106,794.69

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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.