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Finding the Fourth Proportional to 218,093.20, 327,183.72 and 77,848.20

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Solution

The fourth proportional to 218,093.20, 327,183.72 and 77,848.20 is: 116,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,093.20 : 327,183.72 = 77,848.20 : x
  2. Step 2: Convert to fraction form
    218,093.20/327,183.72 = 77,848.20/x
  3. Step 3: Cross multiply
    218,093.20x = 327,183.72 × 77,848.20
  4. Step 4: Simplify right side
    218,093.20x = 25,470,663,671.30
  5. Step 5: Solve for x
    x = 25,470,663,671.30/218,093.20
  6. Step 6: Final answer
    x = 116,787.98

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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.