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Finding the Fourth Proportional to 180,565.76, 270,773.76 and 68,226.56

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Solution

The fourth proportional to 180,565.76, 270,773.76 and 68,226.56 is: 102,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,565.76 : 270,773.76 = 68,226.56 : x
  2. Step 2: Convert to fraction form
    180,565.76/270,773.76 = 68,226.56/x
  3. Step 3: Cross multiply
    180,565.76x = 270,773.76 × 68,226.56
  4. Step 4: Simplify right side
    180,565.76x = 18,473,962,183.07
  5. Step 5: Solve for x
    x = 18,473,962,183.07/180,565.76
  6. Step 6: Final answer
    x = 102,311.55

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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.