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Finding the Fourth Proportional to 222,468.40, 333,634.43 and 80,296.31

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Solution

The fourth proportional to 222,468.40, 333,634.43 and 80,296.31 is: 120,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,468.40 : 333,634.43 = 80,296.31 : x
  2. Step 2: Convert to fraction form
    222,468.40/333,634.43 = 80,296.31/x
  3. Step 3: Cross multiply
    222,468.40x = 333,634.43 × 80,296.31
  4. Step 4: Simplify right side
    222,468.40x = 26,789,613,617.95
  5. Step 5: Solve for x
    x = 26,789,613,617.95/222,468.40
  6. Step 6: Final answer
    x = 120,419.86

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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.