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Finding the Fourth Proportional to 306,022.44, 422,309.37 and 168,204.54

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Solution

The fourth proportional to 306,022.44, 422,309.37 and 168,204.54 is: 232,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,022.44 : 422,309.37 = 168,204.54 : x
  2. Step 2: Convert to fraction form
    306,022.44/422,309.37 = 168,204.54/x
  3. Step 3: Cross multiply
    306,022.44x = 422,309.37 × 168,204.54
  4. Step 4: Simplify right side
    306,022.44x = 71,034,353,318.54
  5. Step 5: Solve for x
    x = 71,034,353,318.54/306,022.44
  6. Step 6: Final answer
    x = 232,121.39

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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.