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Finding the Fourth Proportional to 165,910.95, 248,866.14 and 132,474.33

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Solution

The fourth proportional to 165,910.95, 248,866.14 and 132,474.33 is: 198,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,910.95 : 248,866.14 = 132,474.33 : x
  2. Step 2: Convert to fraction form
    165,910.95/248,866.14 = 132,474.33/x
  3. Step 3: Cross multiply
    165,910.95x = 248,866.14 × 132,474.33
  4. Step 4: Simplify right side
    165,910.95x = 32,968,375,156.19
  5. Step 5: Solve for x
    x = 32,968,375,156.19/165,910.95
  6. Step 6: Final answer
    x = 198,711.27

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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.