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Finding the Fourth Proportional to 198,438.50, 297,658.55 and 48,679.76

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Solution

The fourth proportional to 198,438.50, 297,658.55 and 48,679.76 is: 73,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438.50 : 297,658.55 = 48,679.76 : x
  2. Step 2: Convert to fraction form
    198,438.50/297,658.55 = 48,679.76/x
  3. Step 3: Cross multiply
    198,438.50x = 297,658.55 × 48,679.76
  4. Step 4: Simplify right side
    198,438.50x = 14,489,945,409.35
  5. Step 5: Solve for x
    x = 14,489,945,409.35/198,438.50
  6. Step 6: Final answer
    x = 73,019.83

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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.