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Finding the Fourth Proportional to 172,821.80, 259,232.70 and 137,829.80

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Solution

The fourth proportional to 172,821.80, 259,232.70 and 137,829.80 is: 206,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,821.80 : 259,232.70 = 137,829.80 : x
  2. Step 2: Convert to fraction form
    172,821.80/259,232.70 = 137,829.80/x
  3. Step 3: Cross multiply
    172,821.80x = 259,232.70 × 137,829.80
  4. Step 4: Simplify right side
    172,821.80x = 35,729,991,194.46
  5. Step 5: Solve for x
    x = 35,729,991,194.46/172,821.80
  6. Step 6: Final answer
    x = 206,744.70

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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.