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Finding the Fourth Proportional to 194,474, 268,367.40 and 109,586

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Solution

The fourth proportional to 194,474, 268,367.40 and 109,586 is: 151,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,474 : 268,367.40 = 109,586 : x
  2. Step 2: Convert to fraction form
    194,474/268,367.40 = 109,586/x
  3. Step 3: Cross multiply
    194,474x = 268,367.40 × 109,586
  4. Step 4: Simplify right side
    194,474x = 29,409,309,896.40
  5. Step 5: Solve for x
    x = 29,409,309,896.40/194,474
  6. Step 6: Final answer
    x = 151,224.89

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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.