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Finding the Fourth Proportional to 203,744.68, 281,134.82 and 117,690

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Solution

The fourth proportional to 203,744.68, 281,134.82 and 117,690 is: 162,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744.68 : 281,134.82 = 117,690 : x
  2. Step 2: Convert to fraction form
    203,744.68/281,134.82 = 117,690/x
  3. Step 3: Cross multiply
    203,744.68x = 281,134.82 × 117,690
  4. Step 4: Simplify right side
    203,744.68x = 33,086,756,965.80
  5. Step 5: Solve for x
    x = 33,086,756,965.80/203,744.68
  6. Step 6: Final answer
    x = 162,393.23

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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.