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Finding the Fourth Proportional to 233,199.25, 349,859.97 and 73,268.73

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Solution

The fourth proportional to 233,199.25, 349,859.97 and 73,268.73 is: 109,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,199.25 : 349,859.97 = 73,268.73 : x
  2. Step 2: Convert to fraction form
    233,199.25/349,859.97 = 73,268.73/x
  3. Step 3: Cross multiply
    233,199.25x = 349,859.97 × 73,268.73
  4. Step 4: Simplify right side
    233,199.25x = 25,633,795,679.74
  5. Step 5: Solve for x
    x = 25,633,795,679.74/233,199.25
  6. Step 6: Final answer
    x = 109,922.29

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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.