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Finding the Fourth Proportional to 233,910.38, 322,794.87 and 126,480.62

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Solution

The fourth proportional to 233,910.38, 322,794.87 and 126,480.62 is: 174,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,910.38 : 322,794.87 = 126,480.62 : x
  2. Step 2: Convert to fraction form
    233,910.38/322,794.87 = 126,480.62/x
  3. Step 3: Cross multiply
    233,910.38x = 322,794.87 × 126,480.62
  4. Step 4: Simplify right side
    233,910.38x = 40,827,295,290.42
  5. Step 5: Solve for x
    x = 40,827,295,290.42/233,910.38
  6. Step 6: Final answer
    x = 174,542.47

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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.