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Finding the Fourth Proportional to 165,115.65, 227,900.43 and 93,537.87

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Solution

The fourth proportional to 165,115.65, 227,900.43 and 93,537.87 is: 129,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,115.65 : 227,900.43 = 93,537.87 : x
  2. Step 2: Convert to fraction form
    165,115.65/227,900.43 = 93,537.87/x
  3. Step 3: Cross multiply
    165,115.65x = 227,900.43 × 93,537.87
  4. Step 4: Simplify right side
    165,115.65x = 21,317,320,794.28
  5. Step 5: Solve for x
    x = 21,317,320,794.28/165,115.65
  6. Step 6: Final answer
    x = 129,105.39

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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.