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Finding the Fourth Proportional to 100,414.56, 138,556.44 and 57,964.92

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Solution

The fourth proportional to 100,414.56, 138,556.44 and 57,964.92 is: 79,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.56 : 138,556.44 = 57,964.92 : x
  2. Step 2: Convert to fraction form
    100,414.56/138,556.44 = 57,964.92/x
  3. Step 3: Cross multiply
    100,414.56x = 138,556.44 × 57,964.92
  4. Step 4: Simplify right side
    100,414.56x = 8,031,412,960.08
  5. Step 5: Solve for x
    x = 8,031,412,960.08/100,414.56
  6. Step 6: Final answer
    x = 79,982.55

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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.