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Finding the Fourth Proportional to 200,512, 276,706.56 and 119,942.92

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Solution

The fourth proportional to 200,512, 276,706.56 and 119,942.92 is: 165,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512 : 276,706.56 = 119,942.92 : x
  2. Step 2: Convert to fraction form
    200,512/276,706.56 = 119,942.92/x
  3. Step 3: Cross multiply
    200,512x = 276,706.56 × 119,942.92
  4. Step 4: Simplify right side
    200,512x = 33,188,992,789.56
  5. Step 5: Solve for x
    x = 33,188,992,789.56/200,512
  6. Step 6: Final answer
    x = 165,521.23

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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.