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Finding the Fourth Proportional to 233,911.38, 322,796.25 and 126,481.62

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Solution

The fourth proportional to 233,911.38, 322,796.25 and 126,481.62 is: 174,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,911.38 : 322,796.25 = 126,481.62 : x
  2. Step 2: Convert to fraction form
    233,911.38/322,796.25 = 126,481.62/x
  3. Step 3: Cross multiply
    233,911.38x = 322,796.25 × 126,481.62
  4. Step 4: Simplify right side
    233,911.38x = 40,827,792,629.93
  5. Step 5: Solve for x
    x = 40,827,792,629.93/233,911.38
  6. Step 6: Final answer
    x = 174,543.85

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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.