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Finding the Fourth Proportional to 206,809.21, 285,396.85 and 116,165.22

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Solution

The fourth proportional to 206,809.21, 285,396.85 and 116,165.22 is: 160,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,809.21 : 285,396.85 = 116,165.22 : x
  2. Step 2: Convert to fraction form
    206,809.21/285,396.85 = 116,165.22/x
  3. Step 3: Cross multiply
    206,809.21x = 285,396.85 × 116,165.22
  4. Step 4: Simplify right side
    206,809.21x = 33,153,187,867.56
  5. Step 5: Solve for x
    x = 33,153,187,867.56/206,809.21
  6. Step 6: Final answer
    x = 160,308.09

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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.