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Finding the Fourth Proportional to 222,472.09, 307,010.75 and 120,497.30

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Solution

The fourth proportional to 222,472.09, 307,010.75 and 120,497.30 is: 166,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,472.09 : 307,010.75 = 120,497.30 : x
  2. Step 2: Convert to fraction form
    222,472.09/307,010.75 = 120,497.30/x
  3. Step 3: Cross multiply
    222,472.09x = 307,010.75 × 120,497.30
  4. Step 4: Simplify right side
    222,472.09x = 36,993,965,459.73
  5. Step 5: Solve for x
    x = 36,993,965,459.73/222,472.09
  6. Step 6: Final answer
    x = 166,285.87

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