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Finding the Fourth Proportional to 192,137.60, 288,836.82 and 178,265.12

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Solution

The fourth proportional to 192,137.60, 288,836.82 and 178,265.12 is: 267,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,137.60 : 288,836.82 = 178,265.12 : x
  2. Step 2: Convert to fraction form
    192,137.60/288,836.82 = 178,265.12/x
  3. Step 3: Cross multiply
    192,137.60x = 288,836.82 × 178,265.12
  4. Step 4: Simplify right side
    192,137.60x = 51,489,530,377.72
  5. Step 5: Solve for x
    x = 51,489,530,377.72/192,137.60
  6. Step 6: Final answer
    x = 267,982.58

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1.5x scale

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.