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Finding the Fourth Proportional to 224,524, 309,843.53 and 123,922

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Solution

The fourth proportional to 224,524, 309,843.53 and 123,922 is: 171,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,524 : 309,843.53 = 123,922 : x
  2. Step 2: Convert to fraction form
    224,524/309,843.53 = 123,922/x
  3. Step 3: Cross multiply
    224,524x = 309,843.53 × 123,922
  4. Step 4: Simplify right side
    224,524x = 38,396,429,924.66
  5. Step 5: Solve for x
    x = 38,396,429,924.66/224,524
  6. Step 6: Final answer
    x = 171,012.59

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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.