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Finding the Fourth Proportional to 172,627.80, 258,504.30 and 137,635.80

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Solution

The fourth proportional to 172,627.80, 258,504.30 and 137,635.80 is: 206,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,627.80 : 258,504.30 = 137,635.80 : x
  2. Step 2: Convert to fraction form
    172,627.80/258,504.30 = 137,635.80/x
  3. Step 3: Cross multiply
    172,627.80x = 258,504.30 × 137,635.80
  4. Step 4: Simplify right side
    172,627.80x = 35,579,446,133.94
  5. Step 5: Solve for x
    x = 35,579,446,133.94/172,627.80
  6. Step 6: Final answer
    x = 206,104.96

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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.