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Finding the Fourth Proportional to 196,253.49, 270,865.16 and 115,676.31

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Solution

The fourth proportional to 196,253.49, 270,865.16 and 115,676.31 is: 159,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,253.49 : 270,865.16 = 115,676.31 : x
  2. Step 2: Convert to fraction form
    196,253.49/270,865.16 = 115,676.31/x
  3. Step 3: Cross multiply
    196,253.49x = 270,865.16 × 115,676.31
  4. Step 4: Simplify right side
    196,253.49x = 31,332,682,216.36
  5. Step 5: Solve for x
    x = 31,332,682,216.36/196,253.49
  6. Step 6: Final answer
    x = 159,654.14

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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.