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Finding the Fourth Proportional to 270,112.26, 372,512.78 and 224,939.82

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Solution

The fourth proportional to 270,112.26, 372,512.78 and 224,939.82 is: 310,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,112.26 : 372,512.78 = 224,939.82 : x
  2. Step 2: Convert to fraction form
    270,112.26/372,512.78 = 224,939.82/x
  3. Step 3: Cross multiply
    270,112.26x = 372,512.78 × 224,939.82
  4. Step 4: Simplify right side
    270,112.26x = 83,792,957,680.90
  5. Step 5: Solve for x
    x = 83,792,957,680.90/270,112.26
  6. Step 6: Final answer
    x = 310,215.31

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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.