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Finding the Fourth Proportional to 234,257.22, 323,274.56 and 126,827.25

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Solution

The fourth proportional to 234,257.22, 323,274.56 and 126,827.25 is: 175,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,257.22 : 323,274.56 = 126,827.25 : x
  2. Step 2: Convert to fraction form
    234,257.22/323,274.56 = 126,827.25/x
  3. Step 3: Cross multiply
    234,257.22x = 323,274.56 × 126,827.25
  4. Step 4: Simplify right side
    234,257.22x = 41,000,022,805.62
  5. Step 5: Solve for x
    x = 41,000,022,805.62/234,257.22
  6. Step 6: Final answer
    x = 175,021.38

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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.