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Finding the Fourth Proportional to 222,541.38, 307,105.83 and 120,568.86

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Solution

The fourth proportional to 222,541.38, 307,105.83 and 120,568.86 is: 166,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,541.38 : 307,105.83 = 120,568.86 : x
  2. Step 2: Convert to fraction form
    222,541.38/307,105.83 = 120,568.86/x
  3. Step 3: Cross multiply
    222,541.38x = 307,105.83 × 120,568.86
  4. Step 4: Simplify right side
    222,541.38x = 37,027,399,822.45
  5. Step 5: Solve for x
    x = 37,027,399,822.45/222,541.38
  6. Step 6: Final answer
    x = 166,384.34

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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.