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Finding the Fourth Proportional to 198,261.86, 297,688.02 and 80,163.86

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Solution

The fourth proportional to 198,261.86, 297,688.02 and 80,163.86 is: 120,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,261.86 : 297,688.02 = 80,163.86 : x
  2. Step 2: Convert to fraction form
    198,261.86/297,688.02 = 80,163.86/x
  3. Step 3: Cross multiply
    198,261.86x = 297,688.02 × 80,163.86
  4. Step 4: Simplify right side
    198,261.86x = 23,863,820,758.96
  5. Step 5: Solve for x
    x = 23,863,820,758.96/198,261.86
  6. Step 6: Final answer
    x = 120,365.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.