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Finding the Fourth Proportional to 166,147, 229,203 and 108,761.02

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Solution

The fourth proportional to 166,147, 229,203 and 108,761.02 is: 150,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,147 : 229,203 = 108,761.02 : x
  2. Step 2: Convert to fraction form
    166,147/229,203 = 108,761.02/x
  3. Step 3: Cross multiply
    166,147x = 229,203 × 108,761.02
  4. Step 4: Simplify right side
    166,147x = 24,928,352,067.06
  5. Step 5: Solve for x
    x = 24,928,352,067.06/166,147
  6. Step 6: Final answer
    x = 150,037.93

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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.