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Finding the Fourth Proportional to 301,930.09, 416,658.86 and 165,961.12

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Solution

The fourth proportional to 301,930.09, 416,658.86 and 165,961.12 is: 229,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,930.09 : 416,658.86 = 165,961.12 : x
  2. Step 2: Convert to fraction form
    301,930.09/416,658.86 = 165,961.12/x
  3. Step 3: Cross multiply
    301,930.09x = 416,658.86 × 165,961.12
  4. Step 4: Simplify right side
    301,930.09x = 69,149,170,891.09
  5. Step 5: Solve for x
    x = 69,149,170,891.09/301,930.09
  6. Step 6: Final answer
    x = 229,023.78

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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.