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Finding the Fourth Proportional to 172,867, 259,344.24 and 48,208

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Solution

The fourth proportional to 172,867, 259,344.24 and 48,208 is: 72,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,867 : 259,344.24 = 48,208 : x
  2. Step 2: Convert to fraction form
    172,867/259,344.24 = 48,208/x
  3. Step 3: Cross multiply
    172,867x = 259,344.24 × 48,208
  4. Step 4: Simplify right side
    172,867x = 12,502,467,121.92
  5. Step 5: Solve for x
    x = 12,502,467,121.92/172,867
  6. Step 6: Final answer
    x = 72,324.20

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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.