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Finding the Fourth Proportional to 221,647.31, 332,963.04 and 137,469.68

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Solution

The fourth proportional to 221,647.31, 332,963.04 and 137,469.68 is: 206,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,647.31 : 332,963.04 = 137,469.68 : x
  2. Step 2: Convert to fraction form
    221,647.31/332,963.04 = 137,469.68/x
  3. Step 3: Cross multiply
    221,647.31x = 332,963.04 × 137,469.68
  4. Step 4: Simplify right side
    221,647.31x = 45,772,322,560.63
  5. Step 5: Solve for x
    x = 45,772,322,560.63/221,647.31
  6. Step 6: Final answer
    x = 206,509.71

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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.