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Finding the Fourth Proportional to 147,974.62, 204,201.90 and 80,906.62

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Solution

The fourth proportional to 147,974.62, 204,201.90 and 80,906.62 is: 111,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,974.62 : 204,201.90 = 80,906.62 : x
  2. Step 2: Convert to fraction form
    147,974.62/204,201.90 = 80,906.62/x
  3. Step 3: Cross multiply
    147,974.62x = 204,201.90 × 80,906.62
  4. Step 4: Simplify right side
    147,974.62x = 16,521,285,526.58
  5. Step 5: Solve for x
    x = 16,521,285,526.58/147,974.62
  6. Step 6: Final answer
    x = 111,649.45

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1.5x scale

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.