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Finding the Fourth Proportional to 192,832.85, 289,138.52 and 102,764.67

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Solution

The fourth proportional to 192,832.85, 289,138.52 and 102,764.67 is: 154,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,832.85 : 289,138.52 = 102,764.67 : x
  2. Step 2: Convert to fraction form
    192,832.85/289,138.52 = 102,764.67/x
  3. Step 3: Cross multiply
    192,832.85x = 289,138.52 × 102,764.67
  4. Step 4: Simplify right side
    192,832.85x = 29,713,224,078.27
  5. Step 5: Solve for x
    x = 29,713,224,078.27/192,832.85
  6. Step 6: Final answer
    x = 154,087.98

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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.