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Finding the Fourth Proportional to 148,236.44, 222,576.09 and 146,022.09

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Solution

The fourth proportional to 148,236.44, 222,576.09 and 146,022.09 is: 219,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,236.44 : 222,576.09 = 146,022.09 : x
  2. Step 2: Convert to fraction form
    148,236.44/222,576.09 = 146,022.09/x
  3. Step 3: Cross multiply
    148,236.44x = 222,576.09 × 146,022.09
  4. Step 4: Simplify right side
    148,236.44x = 32,501,025,845.83
  5. Step 5: Solve for x
    x = 32,501,025,845.83/148,236.44
  6. Step 6: Final answer
    x = 219,251.26

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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.