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Finding the Fourth Proportional to 165,778.76, 248,707.03 and 65,944.64

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Solution

The fourth proportional to 165,778.76, 248,707.03 and 65,944.64 is: 98,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,778.76 : 248,707.03 = 65,944.64 : x
  2. Step 2: Convert to fraction form
    165,778.76/248,707.03 = 65,944.64/x
  3. Step 3: Cross multiply
    165,778.76x = 248,707.03 × 65,944.64
  4. Step 4: Simplify right side
    165,778.76x = 16,400,896,015.73
  5. Step 5: Solve for x
    x = 16,400,896,015.73/165,778.76
  6. Step 6: Final answer
    x = 98,932.43

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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.