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Finding the Fourth Proportional to 194,640.49, 268,604.27 and 105,216.49

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Solution

The fourth proportional to 194,640.49, 268,604.27 and 105,216.49 is: 145,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,640.49 : 268,604.27 = 105,216.49 : x
  2. Step 2: Convert to fraction form
    194,640.49/268,604.27 = 105,216.49/x
  3. Step 3: Cross multiply
    194,640.49x = 268,604.27 × 105,216.49
  4. Step 4: Simplify right side
    194,640.49x = 28,261,598,488.41
  5. Step 5: Solve for x
    x = 28,261,598,488.41/194,640.49
  6. Step 6: Final answer
    x = 145,198.97

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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.