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Finding the Fourth Proportional to 267,205.10, 400,467.45 and 109,255.10

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Solution

The fourth proportional to 267,205.10, 400,467.45 and 109,255.10 is: 163,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,205.10 : 400,467.45 = 109,255.10 : x
  2. Step 2: Convert to fraction form
    267,205.10/400,467.45 = 109,255.10/x
  3. Step 3: Cross multiply
    267,205.10x = 400,467.45 × 109,255.10
  4. Step 4: Simplify right side
    267,205.10x = 43,753,111,296.50
  5. Step 5: Solve for x
    x = 43,753,111,296.50/267,205.10
  6. Step 6: Final answer
    x = 163,743.55

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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.