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Finding the Fourth Proportional to 188,276.56, 259,809.30 and 111,791.71

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Solution

The fourth proportional to 188,276.56, 259,809.30 and 111,791.71 is: 154,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,276.56 : 259,809.30 = 111,791.71 : x
  2. Step 2: Convert to fraction form
    188,276.56/259,809.30 = 111,791.71/x
  3. Step 3: Cross multiply
    188,276.56x = 259,809.30 × 111,791.71
  4. Step 4: Simplify right side
    188,276.56x = 29,044,524,062.90
  5. Step 5: Solve for x
    x = 29,044,524,062.90/188,276.56
  6. Step 6: Final answer
    x = 154,265.22

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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.