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Finding the Fourth Proportional to 129,468.44, 194,213.20 and 35,974.20

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Solution

The fourth proportional to 129,468.44, 194,213.20 and 35,974.20 is: 53,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468.44 : 194,213.20 = 35,974.20 : x
  2. Step 2: Convert to fraction form
    129,468.44/194,213.20 = 35,974.20/x
  3. Step 3: Cross multiply
    129,468.44x = 194,213.20 × 35,974.20
  4. Step 4: Simplify right side
    129,468.44x = 6,986,664,499.44
  5. Step 5: Solve for x
    x = 6,986,664,499.44/129,468.44
  6. Step 6: Final answer
    x = 53,964.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.