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Finding the Fourth Proportional to 206,005.72, 309,123.39 and 111,233.90

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Solution

The fourth proportional to 206,005.72, 309,123.39 and 111,233.90 is: 166,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,005.72 : 309,123.39 = 111,233.90 : x
  2. Step 2: Convert to fraction form
    206,005.72/309,123.39 = 111,233.90/x
  3. Step 3: Cross multiply
    206,005.72x = 309,123.39 × 111,233.90
  4. Step 4: Simplify right side
    206,005.72x = 34,384,998,705.30
  5. Step 5: Solve for x
    x = 34,384,998,705.30/206,005.72
  6. Step 6: Final answer
    x = 166,912.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.