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Finding the Fourth Proportional to 172,805.80, 258,771.30 and 137,813.80

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Solution

The fourth proportional to 172,805.80, 258,771.30 and 137,813.80 is: 206,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,805.80 : 258,771.30 = 137,813.80 : x
  2. Step 2: Convert to fraction form
    172,805.80/258,771.30 = 137,813.80/x
  3. Step 3: Cross multiply
    172,805.80x = 258,771.30 × 137,813.80
  4. Step 4: Simplify right side
    172,805.80x = 35,662,256,183.94
  5. Step 5: Solve for x
    x = 35,662,256,183.94/172,805.80
  6. Step 6: Final answer
    x = 206,371.87

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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.