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Finding the Fourth Proportional to 159,843.43, 239,804.60 and 47,523.16

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Solution

The fourth proportional to 159,843.43, 239,804.60 and 47,523.16 is: 71,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.43 : 239,804.60 = 47,523.16 : x
  2. Step 2: Convert to fraction form
    159,843.43/239,804.60 = 47,523.16/x
  3. Step 3: Cross multiply
    159,843.43x = 239,804.60 × 47,523.16
  4. Step 4: Simplify right side
    159,843.43x = 11,396,271,355.09
  5. Step 5: Solve for x
    x = 11,396,271,355.09/159,843.43
  6. Step 6: Final answer
    x = 71,296.47

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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.