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Finding the Fourth Proportional to 226,758.70, 340,138.05 and 200,514.70

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Solution

The fourth proportional to 226,758.70, 340,138.05 and 200,514.70 is: 300,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,758.70 : 340,138.05 = 200,514.70 : x
  2. Step 2: Convert to fraction form
    226,758.70/340,138.05 = 200,514.70/x
  3. Step 3: Cross multiply
    226,758.70x = 340,138.05 × 200,514.70
  4. Step 4: Simplify right side
    226,758.70x = 68,202,679,054.34
  5. Step 5: Solve for x
    x = 68,202,679,054.34/226,758.70
  6. Step 6: Final answer
    x = 300,772.05

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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.