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Finding the Fourth Proportional to 181,474, 250,422.25 and 100,898.56

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Solution

The fourth proportional to 181,474, 250,422.25 and 100,898.56 is: 139,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,474 : 250,422.25 = 100,898.56 : x
  2. Step 2: Convert to fraction form
    181,474/250,422.25 = 100,898.56/x
  3. Step 3: Cross multiply
    181,474x = 250,422.25 × 100,898.56
  4. Step 4: Simplify right side
    181,474x = 25,267,244,416.96
  5. Step 5: Solve for x
    x = 25,267,244,416.96/181,474
  6. Step 6: Final answer
    x = 139,233.41

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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.