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Finding the Fourth Proportional to 185,796.20, 278,694.30 and 156,927.80

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Solution

The fourth proportional to 185,796.20, 278,694.30 and 156,927.80 is: 235,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,796.20 : 278,694.30 = 156,927.80 : x
  2. Step 2: Convert to fraction form
    185,796.20/278,694.30 = 156,927.80/x
  3. Step 3: Cross multiply
    185,796.20x = 278,694.30 × 156,927.80
  4. Step 4: Simplify right side
    185,796.20x = 43,734,883,371.54
  5. Step 5: Solve for x
    x = 43,734,883,371.54/185,796.20
  6. Step 6: Final answer
    x = 235,391.70

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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.