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Finding the Fourth Proportional to 301,996.89, 416,745.09 and 166,029.85

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Solution

The fourth proportional to 301,996.89, 416,745.09 and 166,029.85 is: 229,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.89 : 416,745.09 = 166,029.85 : x
  2. Step 2: Convert to fraction form
    301,996.89/416,745.09 = 166,029.85/x
  3. Step 3: Cross multiply
    301,996.89x = 416,745.09 × 166,029.85
  4. Step 4: Simplify right side
    301,996.89x = 69,192,124,780.94
  5. Step 5: Solve for x
    x = 69,192,124,780.94/301,996.89
  6. Step 6: Final answer
    x = 229,115.36

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1.5x scale

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.