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Finding the Fourth Proportional to 148,182, 204,489.51 and 80,197.44

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Solution

The fourth proportional to 148,182, 204,489.51 and 80,197.44 is: 110,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,182 : 204,489.51 = 80,197.44 : x
  2. Step 2: Convert to fraction form
    148,182/204,489.51 = 80,197.44/x
  3. Step 3: Cross multiply
    148,182x = 204,489.51 × 80,197.44
  4. Step 4: Simplify right side
    148,182x = 16,399,535,208.85
  5. Step 5: Solve for x
    x = 16,399,535,208.85/148,182
  6. Step 6: Final answer
    x = 110,671.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.