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Finding the Fourth Proportional to 180,057.87, 269,819.52 and 73,311.23

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Solution

The fourth proportional to 180,057.87, 269,819.52 and 73,311.23 is: 109,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,057.87 : 269,819.52 = 73,311.23 : x
  2. Step 2: Convert to fraction form
    180,057.87/269,819.52 = 73,311.23/x
  3. Step 3: Cross multiply
    180,057.87x = 269,819.52 × 73,311.23
  4. Step 4: Simplify right side
    180,057.87x = 19,780,801,133.86
  5. Step 5: Solve for x
    x = 19,780,801,133.86/180,057.87
  6. Step 6: Final answer
    x = 109,858.02

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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.