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Finding the Fourth Proportional to 222,764.60, 334,146.90 and 200,214.20

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Solution

The fourth proportional to 222,764.60, 334,146.90 and 200,214.20 is: 300,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,764.60 : 334,146.90 = 200,214.20 : x
  2. Step 2: Convert to fraction form
    222,764.60/334,146.90 = 200,214.20/x
  3. Step 3: Cross multiply
    222,764.60x = 334,146.90 × 200,214.20
  4. Step 4: Simplify right side
    222,764.60x = 66,900,954,265.98
  5. Step 5: Solve for x
    x = 66,900,954,265.98/222,764.60
  6. Step 6: Final answer
    x = 300,321.30

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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.