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Finding the Fourth Proportional to 204,305.53, 306,392.34 and 74,455.85

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Solution

The fourth proportional to 204,305.53, 306,392.34 and 74,455.85 is: 111,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,305.53 : 306,392.34 = 74,455.85 : x
  2. Step 2: Convert to fraction form
    204,305.53/306,392.34 = 74,455.85/x
  3. Step 3: Cross multiply
    204,305.53x = 306,392.34 × 74,455.85
  4. Step 4: Simplify right side
    204,305.53x = 22,812,700,576.23
  5. Step 5: Solve for x
    x = 22,812,700,576.23/204,305.53
  6. Step 6: Final answer
    x = 111,659.73

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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.