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Finding the Fourth Proportional to 274,171.44, 411,291 and 133,824

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Solution

The fourth proportional to 274,171.44, 411,291 and 133,824 is: 200,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,171.44 : 411,291 = 133,824 : x
  2. Step 2: Convert to fraction form
    274,171.44/411,291 = 133,824/x
  3. Step 3: Cross multiply
    274,171.44x = 411,291 × 133,824
  4. Step 4: Simplify right side
    274,171.44x = 55,040,606,784
  5. Step 5: Solve for x
    x = 55,040,606,784/274,171.44
  6. Step 6: Final answer
    x = 200,752.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.