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Finding the Fourth Proportional to 218,643.36, 327,843.96 and 76,450.56

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Solution

The fourth proportional to 218,643.36, 327,843.96 and 76,450.56 is: 114,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643.36 : 327,843.96 = 76,450.56 : x
  2. Step 2: Convert to fraction form
    218,643.36/327,843.96 = 76,450.56/x
  3. Step 3: Cross multiply
    218,643.36x = 327,843.96 × 76,450.56
  4. Step 4: Simplify right side
    218,643.36x = 25,063,854,334.62
  5. Step 5: Solve for x
    x = 25,063,854,334.62/218,643.36
  6. Step 6: Final answer
    x = 114,633.50

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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.