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Finding the Fourth Proportional to 194,786.20, 292,179.30 and 185,600.80

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Solution

The fourth proportional to 194,786.20, 292,179.30 and 185,600.80 is: 278,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,786.20 : 292,179.30 = 185,600.80 : x
  2. Step 2: Convert to fraction form
    194,786.20/292,179.30 = 185,600.80/x
  3. Step 3: Cross multiply
    194,786.20x = 292,179.30 × 185,600.80
  4. Step 4: Simplify right side
    194,786.20x = 54,228,711,823.44
  5. Step 5: Solve for x
    x = 54,228,711,823.44/194,786.20
  6. Step 6: Final answer
    x = 278,401.20

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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.