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Finding the Fourth Proportional to 222,795, 307,471.68 and 122,193

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Solution

The fourth proportional to 222,795, 307,471.68 and 122,193 is: 168,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,795 : 307,471.68 = 122,193 : x
  2. Step 2: Convert to fraction form
    222,795/307,471.68 = 122,193/x
  3. Step 3: Cross multiply
    222,795x = 307,471.68 × 122,193
  4. Step 4: Simplify right side
    222,795x = 37,570,886,994.24
  5. Step 5: Solve for x
    x = 37,570,886,994.24/222,795
  6. Step 6: Final answer
    x = 168,634.34

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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.