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Finding the Fourth Proportional to 159,183.23, 238,723.37 and 52,543.23

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Solution

The fourth proportional to 159,183.23, 238,723.37 and 52,543.23 is: 78,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,183.23 : 238,723.37 = 52,543.23 : x
  2. Step 2: Convert to fraction form
    159,183.23/238,723.37 = 52,543.23/x
  3. Step 3: Cross multiply
    159,183.23x = 238,723.37 × 52,543.23
  4. Step 4: Simplify right side
    159,183.23x = 12,543,296,673.57
  5. Step 5: Solve for x
    x = 12,543,296,673.57/159,183.23
  6. Step 6: Final answer
    x = 78,797.85

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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.