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Finding the Fourth Proportional to 206,738.97, 285,331.01 and 126,213.45

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Solution

The fourth proportional to 206,738.97, 285,331.01 and 126,213.45 is: 174,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,738.97 : 285,331.01 = 126,213.45 : x
  2. Step 2: Convert to fraction form
    206,738.97/285,331.01 = 126,213.45/x
  3. Step 3: Cross multiply
    206,738.97x = 285,331.01 × 126,213.45
  4. Step 4: Simplify right side
    206,738.97x = 36,012,610,533.02
  5. Step 5: Solve for x
    x = 36,012,610,533.02/206,738.97
  6. Step 6: Final answer
    x = 174,193.62

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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.