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Finding the Fourth Proportional to 234,321.69, 323,364.11 and 126,891.84

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Solution

The fourth proportional to 234,321.69, 323,364.11 and 126,891.84 is: 175,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,321.69 : 323,364.11 = 126,891.84 : x
  2. Step 2: Convert to fraction form
    234,321.69/323,364.11 = 126,891.84/x
  3. Step 3: Cross multiply
    234,321.69x = 323,364.11 × 126,891.84
  4. Step 4: Simplify right side
    234,321.69x = 41,032,266,273.40
  5. Step 5: Solve for x
    x = 41,032,266,273.40/234,321.69
  6. Step 6: Final answer
    x = 175,110.83

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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.