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Finding the Fourth Proportional to 194,920, 268,996.12 and 119,453.92

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Solution

The fourth proportional to 194,920, 268,996.12 and 119,453.92 is: 164,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,920 : 268,996.12 = 119,453.92 : x
  2. Step 2: Convert to fraction form
    194,920/268,996.12 = 119,453.92/x
  3. Step 3: Cross multiply
    194,920x = 268,996.12 × 119,453.92
  4. Step 4: Simplify right side
    194,920x = 32,132,640,998.79
  5. Step 5: Solve for x
    x = 32,132,640,998.79/194,920
  6. Step 6: Final answer
    x = 164,850.41

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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.