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Finding the Fourth Proportional to 378,100.92, 567,203.22 and 167,734.20

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Solution

The fourth proportional to 378,100.92, 567,203.22 and 167,734.20 is: 251,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,100.92 : 567,203.22 = 167,734.20 : x
  2. Step 2: Convert to fraction form
    378,100.92/567,203.22 = 167,734.20/x
  3. Step 3: Cross multiply
    378,100.92x = 567,203.22 × 167,734.20
  4. Step 4: Simplify right side
    378,100.92x = 95,139,378,344.12
  5. Step 5: Solve for x
    x = 95,139,378,344.12/378,100.92
  6. Step 6: Final answer
    x = 251,624.30

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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.