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Finding the Fourth Proportional to 288,192.92, 397,704.68 and 167,363.88

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Solution

The fourth proportional to 288,192.92, 397,704.68 and 167,363.88 is: 230,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,192.92 : 397,704.68 = 167,363.88 : x
  2. Step 2: Convert to fraction form
    288,192.92/397,704.68 = 167,363.88/x
  3. Step 3: Cross multiply
    288,192.92x = 397,704.68 × 167,363.88
  4. Step 4: Simplify right side
    288,192.92x = 66,561,398,338.96
  5. Step 5: Solve for x
    x = 66,561,398,338.96/288,192.92
  6. Step 6: Final answer
    x = 230,961.25

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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.