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Finding the Fourth Proportional to 206,896.06, 285,647.27 and 135,396.96

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Solution

The fourth proportional to 206,896.06, 285,647.27 and 135,396.96 is: 186,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.06 : 285,647.27 = 135,396.96 : x
  2. Step 2: Convert to fraction form
    206,896.06/285,647.27 = 135,396.96/x
  3. Step 3: Cross multiply
    206,896.06x = 285,647.27 × 135,396.96
  4. Step 4: Simplify right side
    206,896.06x = 38,675,771,990.30
  5. Step 5: Solve for x
    x = 38,675,771,990.30/206,896.06
  6. Step 6: Final answer
    x = 186,933.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.