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Finding the Fourth Proportional to 132,150.36, 198,223.76 and 32,311.41

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Solution

The fourth proportional to 132,150.36, 198,223.76 and 32,311.41 is: 48,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,150.36 : 198,223.76 = 32,311.41 : x
  2. Step 2: Convert to fraction form
    132,150.36/198,223.76 = 32,311.41/x
  3. Step 3: Cross multiply
    132,150.36x = 198,223.76 × 32,311.41
  4. Step 4: Simplify right side
    132,150.36x = 6,404,888,604.76
  5. Step 5: Solve for x
    x = 6,404,888,604.76/132,150.36
  6. Step 6: Final answer
    x = 48,466.68

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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.