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Finding the Fourth Proportional to 218,439.42, 327,786.52 and 92,071.94

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Solution

The fourth proportional to 218,439.42, 327,786.52 and 92,071.94 is: 138,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,439.42 : 327,786.52 = 92,071.94 : x
  2. Step 2: Convert to fraction form
    218,439.42/327,786.52 = 92,071.94/x
  3. Step 3: Cross multiply
    218,439.42x = 327,786.52 × 92,071.94
  4. Step 4: Simplify right side
    218,439.42x = 30,179,940,802.25
  5. Step 5: Solve for x
    x = 30,179,940,802.25/218,439.42
  6. Step 6: Final answer
    x = 138,161.60

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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.