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Finding the Fourth Proportional to 206,523.17, 285,004.32 and 120,479.30

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Solution

The fourth proportional to 206,523.17, 285,004.32 and 120,479.30 is: 166,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,523.17 : 285,004.32 = 120,479.30 : x
  2. Step 2: Convert to fraction form
    206,523.17/285,004.32 = 120,479.30/x
  3. Step 3: Cross multiply
    206,523.17x = 285,004.32 × 120,479.30
  4. Step 4: Simplify right side
    206,523.17x = 34,337,120,840.22
  5. Step 5: Solve for x
    x = 34,337,120,840.22/206,523.17
  6. Step 6: Final answer
    x = 166,262.80

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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.