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Finding the Fourth Proportional to 133,691.58, 200,537.64 and 54,791.64

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Solution

The fourth proportional to 133,691.58, 200,537.64 and 54,791.64 is: 82,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.58 : 200,537.64 = 54,791.64 : x
  2. Step 2: Convert to fraction form
    133,691.58/200,537.64 = 54,791.64/x
  3. Step 3: Cross multiply
    133,691.58x = 200,537.64 × 54,791.64
  4. Step 4: Simplify right side
    133,691.58x = 10,987,786,177.33
  5. Step 5: Solve for x
    x = 10,987,786,177.33/133,691.58
  6. Step 6: Final answer
    x = 82,187.57

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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.