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Finding the Fourth Proportional to 274,183.94, 411,309.76 and 133,836.50

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Solution

The fourth proportional to 274,183.94, 411,309.76 and 133,836.50 is: 200,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,183.94 : 411,309.76 = 133,836.50 : x
  2. Step 2: Convert to fraction form
    274,183.94/411,309.76 = 133,836.50/x
  3. Step 3: Cross multiply
    274,183.94x = 411,309.76 × 133,836.50
  4. Step 4: Simplify right side
    274,183.94x = 55,048,258,694.24
  5. Step 5: Solve for x
    x = 55,048,258,694.24/274,183.94
  6. Step 6: Final answer
    x = 200,771.27

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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.