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Finding the Fourth Proportional to 222,542.38, 307,107.21 and 120,569.86

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Solution

The fourth proportional to 222,542.38, 307,107.21 and 120,569.86 is: 166,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,542.38 : 307,107.21 = 120,569.86 : x
  2. Step 2: Convert to fraction form
    222,542.38/307,107.21 = 120,569.86/x
  3. Step 3: Cross multiply
    222,542.38x = 307,107.21 × 120,569.86
  4. Step 4: Simplify right side
    222,542.38x = 37,027,873,314.69
  5. Step 5: Solve for x
    x = 37,027,873,314.69/222,542.38
  6. Step 6: Final answer
    x = 166,385.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.