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Finding the Fourth Proportional to 172,857, 259,329.24 and 48,198

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Solution

The fourth proportional to 172,857, 259,329.24 and 48,198 is: 72,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,857 : 259,329.24 = 48,198 : x
  2. Step 2: Convert to fraction form
    172,857/259,329.24 = 48,198/x
  3. Step 3: Cross multiply
    172,857x = 259,329.24 × 48,198
  4. Step 4: Simplify right side
    172,857x = 12,499,150,709.52
  5. Step 5: Solve for x
    x = 12,499,150,709.52/172,857
  6. Step 6: Final answer
    x = 72,309.20

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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.