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Finding the Fourth Proportional to 80,202.60, 120,269.94 and 24,050.70

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Solution

The fourth proportional to 80,202.60, 120,269.94 and 24,050.70 is: 36,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,202.60 : 120,269.94 = 24,050.70 : x
  2. Step 2: Convert to fraction form
    80,202.60/120,269.94 = 24,050.70/x
  3. Step 3: Cross multiply
    80,202.60x = 120,269.94 × 24,050.70
  4. Step 4: Simplify right side
    80,202.60x = 2,892,576,245.96
  5. Step 5: Solve for x
    x = 2,892,576,245.96/80,202.60
  6. Step 6: Final answer
    x = 36,065.87

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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.