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Finding the Fourth Proportional to 177,400, 244,812 and 120,910.06

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Solution

The fourth proportional to 177,400, 244,812 and 120,910.06 is: 166,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,400 : 244,812 = 120,910.06 : x
  2. Step 2: Convert to fraction form
    177,400/244,812 = 120,910.06/x
  3. Step 3: Cross multiply
    177,400x = 244,812 × 120,910.06
  4. Step 4: Simplify right side
    177,400x = 29,600,233,608.72
  5. Step 5: Solve for x
    x = 29,600,233,608.72/177,400
  6. Step 6: Final answer
    x = 166,855.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.