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Finding the Fourth Proportional to 172,942.80, 259,414.20 and 137,950.80

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Solution

The fourth proportional to 172,942.80, 259,414.20 and 137,950.80 is: 206,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.80 : 259,414.20 = 137,950.80 : x
  2. Step 2: Convert to fraction form
    172,942.80/259,414.20 = 137,950.80/x
  3. Step 3: Cross multiply
    172,942.80x = 259,414.20 × 137,950.80
  4. Step 4: Simplify right side
    172,942.80x = 35,786,396,421.36
  5. Step 5: Solve for x
    x = 35,786,396,421.36/172,942.80
  6. Step 6: Final answer
    x = 206,926.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.