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Finding the Fourth Proportional to 222,568.10, 307,143.50 and 120,596.34

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Solution

The fourth proportional to 222,568.10, 307,143.50 and 120,596.34 is: 166,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,568.10 : 307,143.50 = 120,596.34 : x
  2. Step 2: Convert to fraction form
    222,568.10/307,143.50 = 120,596.34/x
  3. Step 3: Cross multiply
    222,568.10x = 307,143.50 × 120,596.34
  4. Step 4: Simplify right side
    222,568.10x = 37,040,382,503.60
  5. Step 5: Solve for x
    x = 37,040,382,503.60/222,568.10
  6. Step 6: Final answer
    x = 166,422.69

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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.