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Finding the Fourth Proportional to 219,770.38, 303,283.28 and 119,168.38

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Solution

The fourth proportional to 219,770.38, 303,283.28 and 119,168.38 is: 164,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,770.38 : 303,283.28 = 119,168.38 : x
  2. Step 2: Convert to fraction form
    219,770.38/303,283.28 = 119,168.38/x
  3. Step 3: Cross multiply
    219,770.38x = 303,283.28 × 119,168.38
  4. Step 4: Simplify right side
    219,770.38x = 36,141,775,046.43
  5. Step 5: Solve for x
    x = 36,141,775,046.43/219,770.38
  6. Step 6: Final answer
    x = 164,452.44

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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.