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Finding the Fourth Proportional to 223,866.82, 308,958 and 167,179.78

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Solution

The fourth proportional to 223,866.82, 308,958 and 167,179.78 is: 230,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,866.82 : 308,958 = 167,179.78 : x
  2. Step 2: Convert to fraction form
    223,866.82/308,958 = 167,179.78/x
  3. Step 3: Cross multiply
    223,866.82x = 308,958 × 167,179.78
  4. Step 4: Simplify right side
    223,866.82x = 51,651,530,469.24
  5. Step 5: Solve for x
    x = 51,651,530,469.24/223,866.82
  6. Step 6: Final answer
    x = 230,724.37

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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.