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Finding the Fourth Proportional to 165,778.48, 248,669.52 and 132,708.80

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Solution

The fourth proportional to 165,778.48, 248,669.52 and 132,708.80 is: 199,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,778.48 : 248,669.52 = 132,708.80 : x
  2. Step 2: Convert to fraction form
    165,778.48/248,669.52 = 132,708.80/x
  3. Step 3: Cross multiply
    165,778.48x = 248,669.52 × 132,708.80
  4. Step 4: Simplify right side
    165,778.48x = 33,000,633,595.78
  5. Step 5: Solve for x
    x = 33,000,633,595.78/165,778.48
  6. Step 6: Final answer
    x = 199,064.64

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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.