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Finding the Fourth Proportional to 168,380.09, 232,394.16 and 100,401.24

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Solution

The fourth proportional to 168,380.09, 232,394.16 and 100,401.24 is: 138,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,380.09 : 232,394.16 = 100,401.24 : x
  2. Step 2: Convert to fraction form
    168,380.09/232,394.16 = 100,401.24/x
  3. Step 3: Cross multiply
    168,380.09x = 232,394.16 × 100,401.24
  4. Step 4: Simplify right side
    168,380.09x = 23,332,661,832.76
  5. Step 5: Solve for x
    x = 23,332,661,832.76/168,380.09
  6. Step 6: Final answer
    x = 138,571.38

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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.