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Finding the Fourth Proportional to 80,205.86, 120,183.96 and 30,258.66

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Solution

The fourth proportional to 80,205.86, 120,183.96 and 30,258.66 is: 45,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.86 : 120,183.96 = 30,258.66 : x
  2. Step 2: Convert to fraction form
    80,205.86/120,183.96 = 30,258.66/x
  3. Step 3: Cross multiply
    80,205.86x = 120,183.96 × 30,258.66
  4. Step 4: Simplify right side
    80,205.86x = 3,636,605,583.09
  5. Step 5: Solve for x
    x = 3,636,605,583.09/80,205.86
  6. Step 6: Final answer
    x = 45,340.90

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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.