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Finding the Fourth Proportional to 194,914.35, 268,978.89 and 108,874.53

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Solution

The fourth proportional to 194,914.35, 268,978.89 and 108,874.53 is: 150,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,914.35 : 268,978.89 = 108,874.53 : x
  2. Step 2: Convert to fraction form
    194,914.35/268,978.89 = 108,874.53/x
  3. Step 3: Cross multiply
    194,914.35x = 268,978.89 × 108,874.53
  4. Step 4: Simplify right side
    194,914.35x = 29,284,950,228.67
  5. Step 5: Solve for x
    x = 29,284,950,228.67/194,914.35
  6. Step 6: Final answer
    x = 150,245.22

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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.