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Finding the Fourth Proportional to 192,205.38, 265,225.77 and 124,224.42

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Solution

The fourth proportional to 192,205.38, 265,225.77 and 124,224.42 is: 171,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,205.38 : 265,225.77 = 124,224.42 : x
  2. Step 2: Convert to fraction form
    192,205.38/265,225.77 = 124,224.42/x
  3. Step 3: Cross multiply
    192,205.38x = 265,225.77 × 124,224.42
  4. Step 4: Simplify right side
    192,205.38x = 32,947,517,447.30
  5. Step 5: Solve for x
    x = 32,947,517,447.30/192,205.38
  6. Step 6: Final answer
    x = 171,418.29

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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.