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Finding the Fourth Proportional to 299,107, 412,796.82 and 164,971

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Solution

The fourth proportional to 299,107, 412,796.82 and 164,971 is: 227,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,107 : 412,796.82 = 164,971 : x
  2. Step 2: Convert to fraction form
    299,107/412,796.82 = 164,971/x
  3. Step 3: Cross multiply
    299,107x = 412,796.82 × 164,971
  4. Step 4: Simplify right side
    299,107x = 68,099,504,192.22
  5. Step 5: Solve for x
    x = 68,099,504,192.22/299,107
  6. Step 6: Final answer
    x = 227,676.06

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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.