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Finding the Fourth Proportional to 214,471.68, 321,480.36 and 72,181.44

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Solution

The fourth proportional to 214,471.68, 321,480.36 and 72,181.44 is: 108,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,471.68 : 321,480.36 = 72,181.44 : x
  2. Step 2: Convert to fraction form
    214,471.68/321,480.36 = 72,181.44/x
  3. Step 3: Cross multiply
    214,471.68x = 321,480.36 × 72,181.44
  4. Step 4: Simplify right side
    214,471.68x = 23,204,915,316.52
  5. Step 5: Solve for x
    x = 23,204,915,316.52/214,471.68
  6. Step 6: Final answer
    x = 108,195.71

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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.