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Finding the Fourth Proportional to 165,659.54, 248,259.42 and 75,481.87

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Solution

The fourth proportional to 165,659.54, 248,259.42 and 75,481.87 is: 113,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,659.54 : 248,259.42 = 75,481.87 : x
  2. Step 2: Convert to fraction form
    165,659.54/248,259.42 = 75,481.87/x
  3. Step 3: Cross multiply
    165,659.54x = 248,259.42 × 75,481.87
  4. Step 4: Simplify right side
    165,659.54x = 18,739,085,901.00
  5. Step 5: Solve for x
    x = 18,739,085,901.00/165,659.54
  6. Step 6: Final answer
    x = 113,118.06

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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.