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Finding the Fourth Proportional to 222,971.69, 307,699.38 and 120,994.56

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Solution

The fourth proportional to 222,971.69, 307,699.38 and 120,994.56 is: 166,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,971.69 : 307,699.38 = 120,994.56 : x
  2. Step 2: Convert to fraction form
    222,971.69/307,699.38 = 120,994.56/x
  3. Step 3: Cross multiply
    222,971.69x = 307,699.38 × 120,994.56
  4. Step 4: Simplify right side
    222,971.69x = 37,229,951,095.37
  5. Step 5: Solve for x
    x = 37,229,951,095.37/222,971.69
  6. Step 6: Final answer
    x = 166,971.65

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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.