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Finding the Fourth Proportional to 166,147.28, 229,337.92 and 132,218

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Solution

The fourth proportional to 166,147.28, 229,337.92 and 132,218 is: 182,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,147.28 : 229,337.92 = 132,218 : x
  2. Step 2: Convert to fraction form
    166,147.28/229,337.92 = 132,218/x
  3. Step 3: Cross multiply
    166,147.28x = 229,337.92 × 132,218
  4. Step 4: Simplify right side
    166,147.28x = 30,322,601,106.56
  5. Step 5: Solve for x
    x = 30,322,601,106.56/166,147.28
  6. Step 6: Final answer
    x = 182,504.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.