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Finding the Fourth Proportional to 137,679.82, 206,480.04 and 37,843.27

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Solution

The fourth proportional to 137,679.82, 206,480.04 and 37,843.27 is: 56,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.82 : 206,480.04 = 37,843.27 : x
  2. Step 2: Convert to fraction form
    137,679.82/206,480.04 = 37,843.27/x
  3. Step 3: Cross multiply
    137,679.82x = 206,480.04 × 37,843.27
  4. Step 4: Simplify right side
    137,679.82x = 7,813,879,245.22
  5. Step 5: Solve for x
    x = 7,813,879,245.22/137,679.82
  6. Step 6: Final answer
    x = 56,753.99

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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.