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Finding the Fourth Proportional to 224,893.74, 337,067.78 and 165,175.64

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Solution

The fourth proportional to 224,893.74, 337,067.78 and 165,175.64 is: 247,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,893.74 : 337,067.78 = 165,175.64 : x
  2. Step 2: Convert to fraction form
    224,893.74/337,067.78 = 165,175.64/x
  3. Step 3: Cross multiply
    224,893.74x = 337,067.78 × 165,175.64
  4. Step 4: Simplify right side
    224,893.74x = 55,675,386,284.88
  5. Step 5: Solve for x
    x = 55,675,386,284.88/224,893.74
  6. Step 6: Final answer
    x = 247,563.08

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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.