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Finding the Fourth Proportional to 206,771.15, 285,406.07 and 120,753.34

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Solution

The fourth proportional to 206,771.15, 285,406.07 and 120,753.34 is: 166,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,771.15 : 285,406.07 = 120,753.34 : x
  2. Step 2: Convert to fraction form
    206,771.15/285,406.07 = 120,753.34/x
  3. Step 3: Cross multiply
    206,771.15x = 285,406.07 × 120,753.34
  4. Step 4: Simplify right side
    206,771.15x = 34,463,736,208.77
  5. Step 5: Solve for x
    x = 34,463,736,208.77/206,771.15
  6. Step 6: Final answer
    x = 166,675.75

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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.