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Finding the Fourth Proportional to 159,729.70, 239,623.24 and 54,524.07

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Solution

The fourth proportional to 159,729.70, 239,623.24 and 54,524.07 is: 81,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,729.70 : 239,623.24 = 54,524.07 : x
  2. Step 2: Convert to fraction form
    159,729.70/239,623.24 = 54,524.07/x
  3. Step 3: Cross multiply
    159,729.70x = 239,623.24 × 54,524.07
  4. Step 4: Simplify right side
    159,729.70x = 13,065,234,311.39
  5. Step 5: Solve for x
    x = 13,065,234,311.39/159,729.70
  6. Step 6: Final answer
    x = 81,795.90

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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.