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Finding the Fourth Proportional to 307,190.56, 460,716.72 and 110,198.56

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Solution

The fourth proportional to 307,190.56, 460,716.72 and 110,198.56 is: 165,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,190.56 : 460,716.72 = 110,198.56 : x
  2. Step 2: Convert to fraction form
    307,190.56/460,716.72 = 110,198.56/x
  3. Step 3: Cross multiply
    307,190.56x = 460,716.72 × 110,198.56
  4. Step 4: Simplify right side
    307,190.56x = 50,770,319,111.92
  5. Step 5: Solve for x
    x = 50,770,319,111.92/307,190.56
  6. Step 6: Final answer
    x = 165,273.04

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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.