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Finding the Fourth Proportional to 253,882.62, 350,358.30 and 140,705.46

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Solution

The fourth proportional to 253,882.62, 350,358.30 and 140,705.46 is: 194,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,882.62 : 350,358.30 = 140,705.46 : x
  2. Step 2: Convert to fraction form
    253,882.62/350,358.30 = 140,705.46/x
  3. Step 3: Cross multiply
    253,882.62x = 350,358.30 × 140,705.46
  4. Step 4: Simplify right side
    253,882.62x = 49,297,325,766.32
  5. Step 5: Solve for x
    x = 49,297,325,766.32/253,882.62
  6. Step 6: Final answer
    x = 194,173.69

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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.