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Finding the Fourth Proportional to 208,744, 288,067.44 and 113,251.12

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Solution

The fourth proportional to 208,744, 288,067.44 and 113,251.12 is: 156,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744 : 288,067.44 = 113,251.12 : x
  2. Step 2: Convert to fraction form
    208,744/288,067.44 = 113,251.12/x
  3. Step 3: Cross multiply
    208,744x = 288,067.44 × 113,251.12
  4. Step 4: Simplify right side
    208,744x = 32,623,960,215.53
  5. Step 5: Solve for x
    x = 32,623,960,215.53/208,744
  6. Step 6: Final answer
    x = 156,286.94

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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.