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Finding the Fourth Proportional to 159,843.93, 239,805.35 and 47,523.66

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Solution

The fourth proportional to 159,843.93, 239,805.35 and 47,523.66 is: 71,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.93 : 239,805.35 = 47,523.66 : x
  2. Step 2: Convert to fraction form
    159,843.93/239,805.35 = 47,523.66/x
  3. Step 3: Cross multiply
    159,843.93x = 239,805.35 × 47,523.66
  4. Step 4: Simplify right side
    159,843.93x = 11,396,426,720.55
  5. Step 5: Solve for x
    x = 11,396,426,720.55/159,843.93
  6. Step 6: Final answer
    x = 71,297.22

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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.