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Finding the Fourth Proportional to 274,775.52, 411,463.44 and 134,166

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Solution

The fourth proportional to 274,775.52, 411,463.44 and 134,166 is: 200,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,775.52 : 411,463.44 = 134,166 : x
  2. Step 2: Convert to fraction form
    274,775.52/411,463.44 = 134,166/x
  3. Step 3: Cross multiply
    274,775.52x = 411,463.44 × 134,166
  4. Step 4: Simplify right side
    274,775.52x = 55,204,403,891.04
  5. Step 5: Solve for x
    x = 55,204,403,891.04/274,775.52
  6. Step 6: Final answer
    x = 200,907.29

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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.