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Finding the Fourth Proportional to 132,148.45, 198,220.90 and 32,309.50

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Solution

The fourth proportional to 132,148.45, 198,220.90 and 32,309.50 is: 48,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,148.45 : 198,220.90 = 32,309.50 : x
  2. Step 2: Convert to fraction form
    132,148.45/198,220.90 = 32,309.50/x
  3. Step 3: Cross multiply
    132,148.45x = 198,220.90 × 32,309.50
  4. Step 4: Simplify right side
    132,148.45x = 6,404,418,396.13
  5. Step 5: Solve for x
    x = 6,404,418,396.13/132,148.45
  6. Step 6: Final answer
    x = 48,463.82

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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.