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Finding the Fourth Proportional to 137,249.91, 205,732.08 and 53,067.87

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Solution

The fourth proportional to 137,249.91, 205,732.08 and 53,067.87 is: 79,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,249.91 : 205,732.08 = 53,067.87 : x
  2. Step 2: Convert to fraction form
    137,249.91/205,732.08 = 53,067.87/x
  3. Step 3: Cross multiply
    137,249.91x = 205,732.08 × 53,067.87
  4. Step 4: Simplify right side
    137,249.91x = 10,917,763,276.27
  5. Step 5: Solve for x
    x = 10,917,763,276.27/137,249.91
  6. Step 6: Final answer
    x = 79,546.60

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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.