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Finding the Fourth Proportional to 224,480.40, 309,789.50 and 122,512.44

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Solution

The fourth proportional to 224,480.40, 309,789.50 and 122,512.44 is: 169,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,480.40 : 309,789.50 = 122,512.44 : x
  2. Step 2: Convert to fraction form
    224,480.40/309,789.50 = 122,512.44/x
  3. Step 3: Cross multiply
    224,480.40x = 309,789.50 × 122,512.44
  4. Step 4: Simplify right side
    224,480.40x = 37,953,067,531.38
  5. Step 5: Solve for x
    x = 37,953,067,531.38/224,480.40
  6. Step 6: Final answer
    x = 169,070.74

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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.