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Finding the Fourth Proportional to 223,633.19, 335,438.84 and 83,380.88

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Solution

The fourth proportional to 223,633.19, 335,438.84 and 83,380.88 is: 125,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,633.19 : 335,438.84 = 83,380.88 : x
  2. Step 2: Convert to fraction form
    223,633.19/335,438.84 = 83,380.88/x
  3. Step 3: Cross multiply
    223,633.19x = 335,438.84 × 83,380.88
  4. Step 4: Simplify right side
    223,633.19x = 27,969,183,571.28
  5. Step 5: Solve for x
    x = 27,969,183,571.28/223,633.19
  6. Step 6: Final answer
    x = 125,067.23

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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.