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Finding the Fourth Proportional to 222,651.60, 333,977.40 and 200,101.20

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Solution

The fourth proportional to 222,651.60, 333,977.40 and 200,101.20 is: 300,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,651.60 : 333,977.40 = 200,101.20 : x
  2. Step 2: Convert to fraction form
    222,651.60/333,977.40 = 200,101.20/x
  3. Step 3: Cross multiply
    222,651.60x = 333,977.40 × 200,101.20
  4. Step 4: Simplify right side
    222,651.60x = 66,829,278,512.88
  5. Step 5: Solve for x
    x = 66,829,278,512.88/222,651.60
  6. Step 6: Final answer
    x = 300,151.80

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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.