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Finding the Fourth Proportional to 198,538.29, 297,863.03 and 80,292.67

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Solution

The fourth proportional to 198,538.29, 297,863.03 and 80,292.67 is: 120,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,538.29 : 297,863.03 = 80,292.67 : x
  2. Step 2: Convert to fraction form
    198,538.29/297,863.03 = 80,292.67/x
  3. Step 3: Cross multiply
    198,538.29x = 297,863.03 × 80,292.67
  4. Step 4: Simplify right side
    198,538.29x = 23,916,217,571.53
  5. Step 5: Solve for x
    x = 23,916,217,571.53/198,538.29
  6. Step 6: Final answer
    x = 120,461.49

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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.