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Finding the Fourth Proportional to 146,723.38, 202,480.36 and 85,467.99

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Solution

The fourth proportional to 146,723.38, 202,480.36 and 85,467.99 is: 117,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,723.38 : 202,480.36 = 85,467.99 : x
  2. Step 2: Convert to fraction form
    146,723.38/202,480.36 = 85,467.99/x
  3. Step 3: Cross multiply
    146,723.38x = 202,480.36 × 85,467.99
  4. Step 4: Simplify right side
    146,723.38x = 17,305,589,383.68
  5. Step 5: Solve for x
    x = 17,305,589,383.68/146,723.38
  6. Step 6: Final answer
    x = 117,947.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.