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Finding the Fourth Proportional to 273,769.01, 410,621.16 and 84,229.01

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Solution

The fourth proportional to 273,769.01, 410,621.16 and 84,229.01 is: 126,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,769.01 : 410,621.16 = 84,229.01 : x
  2. Step 2: Convert to fraction form
    273,769.01/410,621.16 = 84,229.01/x
  3. Step 3: Cross multiply
    273,769.01x = 410,621.16 × 84,229.01
  4. Step 4: Simplify right side
    273,769.01x = 34,586,211,738.75
  5. Step 5: Solve for x
    x = 34,586,211,738.75/273,769.01
  6. Step 6: Final answer
    x = 126,333.56

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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.