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Finding the Fourth Proportional to 222,540.42, 307,105.85 and 120,566.58

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Solution

The fourth proportional to 222,540.42, 307,105.85 and 120,566.58 is: 166,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540.42 : 307,105.85 = 120,566.58 : x
  2. Step 2: Convert to fraction form
    222,540.42/307,105.85 = 120,566.58/x
  3. Step 3: Cross multiply
    222,540.42x = 307,105.85 × 120,566.58
  4. Step 4: Simplify right side
    222,540.42x = 37,026,702,333.91
  5. Step 5: Solve for x
    x = 37,026,702,333.91/222,540.42
  6. Step 6: Final answer
    x = 166,381.92

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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.