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Finding the Fourth Proportional to 250,546.44, 345,770.10 and 165,514.44

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Solution

The fourth proportional to 250,546.44, 345,770.10 and 165,514.44 is: 228,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,546.44 : 345,770.10 = 165,514.44 : x
  2. Step 2: Convert to fraction form
    250,546.44/345,770.10 = 165,514.44/x
  3. Step 3: Cross multiply
    250,546.44x = 345,770.10 × 165,514.44
  4. Step 4: Simplify right side
    250,546.44x = 57,229,944,470.24
  5. Step 5: Solve for x
    x = 57,229,944,470.24/250,546.44
  6. Step 6: Final answer
    x = 228,420.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.