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Finding the Fourth Proportional to 222,567.90, 307,143.27 and 120,596.12

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Solution

The fourth proportional to 222,567.90, 307,143.27 and 120,596.12 is: 166,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,567.90 : 307,143.27 = 120,596.12 : x
  2. Step 2: Convert to fraction form
    222,567.90/307,143.27 = 120,596.12/x
  3. Step 3: Cross multiply
    222,567.90x = 307,143.27 × 120,596.12
  4. Step 4: Simplify right side
    222,567.90x = 37,040,285,234.05
  5. Step 5: Solve for x
    x = 37,040,285,234.05/222,567.90
  6. Step 6: Final answer
    x = 166,422.41

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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.