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Finding the Fourth Proportional to 230,480.52, 345,493.44 and 110,398.80

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Solution

The fourth proportional to 230,480.52, 345,493.44 and 110,398.80 is: 165,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,480.52 : 345,493.44 = 110,398.80 : x
  2. Step 2: Convert to fraction form
    230,480.52/345,493.44 = 110,398.80/x
  3. Step 3: Cross multiply
    230,480.52x = 345,493.44 × 110,398.80
  4. Step 4: Simplify right side
    230,480.52x = 38,142,061,183.87
  5. Step 5: Solve for x
    x = 38,142,061,183.87/230,480.52
  6. Step 6: Final answer
    x = 165,489.31

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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.