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Finding the Fourth Proportional to 222,747.60, 334,121.40 and 200,197.20

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Solution

The fourth proportional to 222,747.60, 334,121.40 and 200,197.20 is: 300,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,747.60 : 334,121.40 = 200,197.20 : x
  2. Step 2: Convert to fraction form
    222,747.60/334,121.40 = 200,197.20/x
  3. Step 3: Cross multiply
    222,747.60x = 334,121.40 × 200,197.20
  4. Step 4: Simplify right side
    222,747.60x = 66,890,168,740.08
  5. Step 5: Solve for x
    x = 66,890,168,740.08/222,747.60
  6. Step 6: Final answer
    x = 300,295.80

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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.