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Finding the Fourth Proportional to 204,701.20, 306,760.20 and 150,973.90

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Solution

The fourth proportional to 204,701.20, 306,760.20 and 150,973.90 is: 226,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,701.20 : 306,760.20 = 150,973.90 : x
  2. Step 2: Convert to fraction form
    204,701.20/306,760.20 = 150,973.90/x
  3. Step 3: Cross multiply
    204,701.20x = 306,760.20 × 150,973.90
  4. Step 4: Simplify right side
    204,701.20x = 46,312,783,758.78
  5. Step 5: Solve for x
    x = 46,312,783,758.78/204,701.20
  6. Step 6: Final answer
    x = 226,245.79

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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.