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Finding the Fourth Proportional to 132,194.37, 198,294.12 and 32,355.44

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Solution

The fourth proportional to 132,194.37, 198,294.12 and 32,355.44 is: 48,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,194.37 : 198,294.12 = 32,355.44 : x
  2. Step 2: Convert to fraction form
    132,194.37/198,294.12 = 32,355.44/x
  3. Step 3: Cross multiply
    132,194.37x = 198,294.12 × 32,355.44
  4. Step 4: Simplify right side
    132,194.37x = 6,415,892,510.54
  5. Step 5: Solve for x
    x = 6,415,892,510.54/132,194.37
  6. Step 6: Final answer
    x = 48,533.78

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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.