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Finding the Fourth Proportional to 172,857.50, 259,286.26 and 41,529.50

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Solution

The fourth proportional to 172,857.50, 259,286.26 and 41,529.50 is: 62,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857.50 : 259,286.26 = 41,529.50 : x
  2. Step 2: Convert to fraction form
    172,857.50/259,286.26 = 41,529.50/x
  3. Step 3: Cross multiply
    172,857.50x = 259,286.26 × 41,529.50
  4. Step 4: Simplify right side
    172,857.50x = 10,768,028,734.67
  5. Step 5: Solve for x
    x = 10,768,028,734.67/172,857.50
  6. Step 6: Final answer
    x = 62,294.25

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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.