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Finding the Fourth Proportional to 137,727.30, 206,578.80 and 37,878.60

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Solution

The fourth proportional to 137,727.30, 206,578.80 and 37,878.60 is: 56,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,727.30 : 206,578.80 = 37,878.60 : x
  2. Step 2: Convert to fraction form
    137,727.30/206,578.80 = 37,878.60/x
  3. Step 3: Cross multiply
    137,727.30x = 206,578.80 × 37,878.60
  4. Step 4: Simplify right side
    137,727.30x = 7,824,915,733.68
  5. Step 5: Solve for x
    x = 7,824,915,733.68/137,727.30
  6. Step 6: Final answer
    x = 56,814.56

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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.