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Finding the Fourth Proportional to 165,797.24, 248,769.30 and 86,892.68

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Solution

The fourth proportional to 165,797.24, 248,769.30 and 86,892.68 is: 130,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,797.24 : 248,769.30 = 86,892.68 : x
  2. Step 2: Convert to fraction form
    165,797.24/248,769.30 = 86,892.68/x
  3. Step 3: Cross multiply
    165,797.24x = 248,769.30 × 86,892.68
  4. Step 4: Simplify right side
    165,797.24x = 21,616,231,178.72
  5. Step 5: Solve for x
    x = 21,616,231,178.72/165,797.24
  6. Step 6: Final answer
    x = 130,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.