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Finding the Fourth Proportional to 194,449, 268,310.46 and 109,564.24

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Solution

The fourth proportional to 194,449, 268,310.46 and 109,564.24 is: 151,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,449 : 268,310.46 = 109,564.24 : x
  2. Step 2: Convert to fraction form
    194,449/268,310.46 = 109,564.24/x
  3. Step 3: Cross multiply
    194,449x = 268,310.46 × 109,564.24
  4. Step 4: Simplify right side
    194,449x = 29,397,231,633.95
  5. Step 5: Solve for x
    x = 29,397,231,633.95/194,449
  6. Step 6: Final answer
    x = 151,182.22

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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.