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Finding the Fourth Proportional to 159,844.43, 239,806.10 and 47,524.16

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Solution

The fourth proportional to 159,844.43, 239,806.10 and 47,524.16 is: 71,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,844.43 : 239,806.10 = 47,524.16 : x
  2. Step 2: Convert to fraction form
    159,844.43/239,806.10 = 47,524.16/x
  3. Step 3: Cross multiply
    159,844.43x = 239,806.10 × 47,524.16
  4. Step 4: Simplify right side
    159,844.43x = 11,396,582,266.35
  5. Step 5: Solve for x
    x = 11,396,582,266.35/159,844.43
  6. Step 6: Final answer
    x = 71,297.97

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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.