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Finding the Fourth Proportional to 206,771.40, 285,406.41 and 120,753.59

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Solution

The fourth proportional to 206,771.40, 285,406.41 and 120,753.59 is: 166,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,771.40 : 285,406.41 = 120,753.59 : x
  2. Step 2: Convert to fraction form
    206,771.40/285,406.41 = 120,753.59/x
  3. Step 3: Cross multiply
    206,771.40x = 285,406.41 × 120,753.59
  4. Step 4: Simplify right side
    206,771.40x = 34,463,848,616.51
  5. Step 5: Solve for x
    x = 34,463,848,616.51/206,771.40
  6. Step 6: Final answer
    x = 166,676.09

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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.