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Finding the Fourth Proportional to 222,093.36, 306,489.24 and 121,491.36

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Solution

The fourth proportional to 222,093.36, 306,489.24 and 121,491.36 is: 167,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,093.36 : 306,489.24 = 121,491.36 : x
  2. Step 2: Convert to fraction form
    222,093.36/306,489.24 = 121,491.36/x
  3. Step 3: Cross multiply
    222,093.36x = 306,489.24 × 121,491.36
  4. Step 4: Simplify right side
    222,093.36x = 37,235,794,592.97
  5. Step 5: Solve for x
    x = 37,235,794,592.97/222,093.36
  6. Step 6: Final answer
    x = 167,658.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.