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Finding the Fourth Proportional to 185,794, 256,396.20 and 109,315.96

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Solution

The fourth proportional to 185,794, 256,396.20 and 109,315.96 is: 150,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,794 : 256,396.20 = 109,315.96 : x
  2. Step 2: Convert to fraction form
    185,794/256,396.20 = 109,315.96/x
  3. Step 3: Cross multiply
    185,794x = 256,396.20 × 109,315.96
  4. Step 4: Simplify right side
    185,794x = 28,028,196,743.35
  5. Step 5: Solve for x
    x = 28,028,196,743.35/185,794
  6. Step 6: Final answer
    x = 150,856.31

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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.