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Finding the Fourth Proportional to 165,174, 227,936.40 and 96,259.20

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Solution

The fourth proportional to 165,174, 227,936.40 and 96,259.20 is: 132,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,174 : 227,936.40 = 96,259.20 : x
  2. Step 2: Convert to fraction form
    165,174/227,936.40 = 96,259.20/x
  3. Step 3: Cross multiply
    165,174x = 227,936.40 × 96,259.20
  4. Step 4: Simplify right side
    165,174x = 21,940,975,514.88
  5. Step 5: Solve for x
    x = 21,940,975,514.88/165,174
  6. Step 6: Final answer
    x = 132,835.53

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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.