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Finding the Fourth Proportional to 120,469.84, 166,243.48 and 66,757.12

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Solution

The fourth proportional to 120,469.84, 166,243.48 and 66,757.12 is: 92,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,469.84 : 166,243.48 = 66,757.12 : x
  2. Step 2: Convert to fraction form
    120,469.84/166,243.48 = 66,757.12/x
  3. Step 3: Cross multiply
    120,469.84x = 166,243.48 × 66,757.12
  4. Step 4: Simplify right side
    120,469.84x = 11,097,935,943.58
  5. Step 5: Solve for x
    x = 11,097,935,943.58/120,469.84
  6. Step 6: Final answer
    x = 92,122.11

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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.