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Finding the Fourth Proportional to 196,374.38, 270,998.46 and 111,493.26

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Solution

The fourth proportional to 196,374.38, 270,998.46 and 111,493.26 is: 153,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.38 : 270,998.46 = 111,493.26 : x
  2. Step 2: Convert to fraction form
    196,374.38/270,998.46 = 111,493.26/x
  3. Step 3: Cross multiply
    196,374.38x = 270,998.46 × 111,493.26
  4. Step 4: Simplify right side
    196,374.38x = 30,214,501,760.38
  5. Step 5: Solve for x
    x = 30,214,501,760.38/196,374.38
  6. Step 6: Final answer
    x = 153,861.73

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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.