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Finding the Fourth Proportional to 277,198.60, 382,534.62 and 149,874.20

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Solution

The fourth proportional to 277,198.60, 382,534.62 and 149,874.20 is: 206,826.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,198.60 : 382,534.62 = 149,874.20 : x
  2. Step 2: Convert to fraction form
    277,198.60/382,534.62 = 149,874.20/x
  3. Step 3: Cross multiply
    277,198.60x = 382,534.62 × 149,874.20
  4. Step 4: Simplify right side
    277,198.60x = 57,332,070,144.80
  5. Step 5: Solve for x
    x = 57,332,070,144.80/277,198.60
  6. Step 6: Final answer
    x = 206,826.69

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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.