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Finding the Fourth Proportional to 253,104.68, 349,566.90 and 196,429.88

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Solution

The fourth proportional to 253,104.68, 349,566.90 and 196,429.88 is: 271,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,104.68 : 349,566.90 = 196,429.88 : x
  2. Step 2: Convert to fraction form
    253,104.68/349,566.90 = 196,429.88/x
  3. Step 3: Cross multiply
    253,104.68x = 349,566.90 × 196,429.88
  4. Step 4: Simplify right side
    253,104.68x = 68,665,384,218.97
  5. Step 5: Solve for x
    x = 68,665,384,218.97/253,104.68
  6. Step 6: Final answer
    x = 271,292.43

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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.