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Finding the Fourth Proportional to 247,682.26, 341,906.16 and 167,218.78

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Solution

The fourth proportional to 247,682.26, 341,906.16 and 167,218.78 is: 230,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,682.26 : 341,906.16 = 167,218.78 : x
  2. Step 2: Convert to fraction form
    247,682.26/341,906.16 = 167,218.78/x
  3. Step 3: Cross multiply
    247,682.26x = 341,906.16 × 167,218.78
  4. Step 4: Simplify right side
    247,682.26x = 57,173,130,949.68
  5. Step 5: Solve for x
    x = 57,173,130,949.68/247,682.26
  6. Step 6: Final answer
    x = 230,832.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.