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Finding the Fourth Proportional to 137,067.60, 205,471.80 and 80,950.80

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Solution

The fourth proportional to 137,067.60, 205,471.80 and 80,950.80 is: 121,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,067.60 : 205,471.80 = 80,950.80 : x
  2. Step 2: Convert to fraction form
    137,067.60/205,471.80 = 80,950.80/x
  3. Step 3: Cross multiply
    137,067.60x = 205,471.80 × 80,950.80
  4. Step 4: Simplify right side
    137,067.60x = 16,633,106,587.44
  5. Step 5: Solve for x
    x = 16,633,106,587.44/137,067.60
  6. Step 6: Final answer
    x = 121,349.66

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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.