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Finding the Fourth Proportional to 219,944.38, 303,523.24 and 119,342.38

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Solution

The fourth proportional to 219,944.38, 303,523.24 and 119,342.38 is: 164,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,944.38 : 303,523.24 = 119,342.38 : x
  2. Step 2: Convert to fraction form
    219,944.38/303,523.24 = 119,342.38/x
  3. Step 3: Cross multiply
    219,944.38x = 303,523.24 × 119,342.38
  4. Step 4: Simplify right side
    219,944.38x = 36,223,184,030.94
  5. Step 5: Solve for x
    x = 36,223,184,030.94/219,944.38
  6. Step 6: Final answer
    x = 164,692.48

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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.