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Finding the Fourth Proportional to 196,265.34, 270,845.42 and 110,212.38

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Solution

The fourth proportional to 196,265.34, 270,845.42 and 110,212.38 is: 152,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,265.34 : 270,845.42 = 110,212.38 : x
  2. Step 2: Convert to fraction form
    196,265.34/270,845.42 = 110,212.38/x
  3. Step 3: Cross multiply
    196,265.34x = 270,845.42 × 110,212.38
  4. Step 4: Simplify right side
    196,265.34x = 29,850,517,799.24
  5. Step 5: Solve for x
    x = 29,850,517,799.24/196,265.34
  6. Step 6: Final answer
    x = 152,092.66

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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.