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Finding the Fourth Proportional to 222,732.35, 307,369.67 and 120,757.49

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Solution

The fourth proportional to 222,732.35, 307,369.67 and 120,757.49 is: 166,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,732.35 : 307,369.67 = 120,757.49 : x
  2. Step 2: Convert to fraction form
    222,732.35/307,369.67 = 120,757.49/x
  3. Step 3: Cross multiply
    222,732.35x = 307,369.67 × 120,757.49
  4. Step 4: Simplify right side
    222,732.35x = 37,117,189,851.33
  5. Step 5: Solve for x
    x = 37,117,189,851.33/222,732.35
  6. Step 6: Final answer
    x = 166,644.81

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1.5x scale

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.