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Finding the Fourth Proportional to 132,096.33, 198,142.20 and 53,208.54

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Solution

The fourth proportional to 132,096.33, 198,142.20 and 53,208.54 is: 79,811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,096.33 : 198,142.20 = 53,208.54 : x
  2. Step 2: Convert to fraction form
    132,096.33/198,142.20 = 53,208.54/x
  3. Step 3: Cross multiply
    132,096.33x = 198,142.20 × 53,208.54
  4. Step 4: Simplify right side
    132,096.33x = 10,542,857,174.39
  5. Step 5: Solve for x
    x = 10,542,857,174.39/132,096.33
  6. Step 6: Final answer
    x = 79,811.89

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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.