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Finding the Fourth Proportional to 338,882.24, 508,175.70 and 114,200.78

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Solution

The fourth proportional to 338,882.24, 508,175.70 and 114,200.78 is: 171,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,882.24 : 508,175.70 = 114,200.78 : x
  2. Step 2: Convert to fraction form
    338,882.24/508,175.70 = 114,200.78/x
  3. Step 3: Cross multiply
    338,882.24x = 508,175.70 × 114,200.78
  4. Step 4: Simplify right side
    338,882.24x = 58,034,061,317.05
  5. Step 5: Solve for x
    x = 58,034,061,317.05/338,882.24
  6. Step 6: Final answer
    x = 171,251.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.