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Finding the Fourth Proportional to 273,405.32, 410,129.45 and 73,722.70

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Solution

The fourth proportional to 273,405.32, 410,129.45 and 73,722.70 is: 110,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,405.32 : 410,129.45 = 73,722.70 : x
  2. Step 2: Convert to fraction form
    273,405.32/410,129.45 = 73,722.70/x
  3. Step 3: Cross multiply
    273,405.32x = 410,129.45 × 73,722.70
  4. Step 4: Simplify right side
    273,405.32x = 30,235,847,984.25
  5. Step 5: Solve for x
    x = 30,235,847,984.25/273,405.32
  6. Step 6: Final answer
    x = 110,589.83

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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.