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Finding the Fourth Proportional to 194,953, 268,882.26 and 126,991.38

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Solution

The fourth proportional to 194,953, 268,882.26 and 126,991.38 is: 175,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953 : 268,882.26 = 126,991.38 : x
  2. Step 2: Convert to fraction form
    194,953/268,882.26 = 126,991.38/x
  3. Step 3: Cross multiply
    194,953x = 268,882.26 × 126,991.38
  4. Step 4: Simplify right side
    194,953x = 34,145,729,254.92
  5. Step 5: Solve for x
    x = 34,145,729,254.92/194,953
  6. Step 6: Final answer
    x = 175,148.52

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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.