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Finding the Fourth Proportional to 188,791.52, 283,226.16 and 157,843.04

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Solution

The fourth proportional to 188,791.52, 283,226.16 and 157,843.04 is: 236,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,791.52 : 283,226.16 = 157,843.04 : x
  2. Step 2: Convert to fraction form
    188,791.52/283,226.16 = 157,843.04/x
  3. Step 3: Cross multiply
    188,791.52x = 283,226.16 × 157,843.04
  4. Step 4: Simplify right side
    188,791.52x = 44,705,278,101.93
  5. Step 5: Solve for x
    x = 44,705,278,101.93/188,791.52
  6. Step 6: Final answer
    x = 236,797.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.