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Finding the Fourth Proportional to 234,682.64, 323,914.92 and 196,891.28

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Solution

The fourth proportional to 234,682.64, 323,914.92 and 196,891.28 is: 271,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,682.64 : 323,914.92 = 196,891.28 : x
  2. Step 2: Convert to fraction form
    234,682.64/323,914.92 = 196,891.28/x
  3. Step 3: Cross multiply
    234,682.64x = 323,914.92 × 196,891.28
  4. Step 4: Simplify right side
    234,682.64x = 63,776,023,209.90
  5. Step 5: Solve for x
    x = 63,776,023,209.90/234,682.64
  6. Step 6: Final answer
    x = 271,754.33

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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.