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Finding the Fourth Proportional to 230,719.20, 345,310.80 and 167,359.20

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Solution

The fourth proportional to 230,719.20, 345,310.80 and 167,359.20 is: 250,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,719.20 : 345,310.80 = 167,359.20 : x
  2. Step 2: Convert to fraction form
    230,719.20/345,310.80 = 167,359.20/x
  3. Step 3: Cross multiply
    230,719.20x = 345,310.80 × 167,359.20
  4. Step 4: Simplify right side
    230,719.20x = 57,790,939,239.36
  5. Step 5: Solve for x
    x = 57,790,939,239.36/230,719.20
  6. Step 6: Final answer
    x = 250,481.71

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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.