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Finding the Fourth Proportional to 218,467.16, 327,828.12 and 92,099.67

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Solution

The fourth proportional to 218,467.16, 327,828.12 and 92,099.67 is: 138,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,467.16 : 327,828.12 = 92,099.67 : x
  2. Step 2: Convert to fraction form
    218,467.16/327,828.12 = 92,099.67/x
  3. Step 3: Cross multiply
    218,467.16x = 327,828.12 × 92,099.67
  4. Step 4: Simplify right side
    218,467.16x = 30,192,861,208.22
  5. Step 5: Solve for x
    x = 30,192,861,208.22/218,467.16
  6. Step 6: Final answer
    x = 138,203.20

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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.