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Finding the Fourth Proportional to 204,002.30, 305,792.85 and 91,736.30

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Solution

The fourth proportional to 204,002.30, 305,792.85 and 91,736.30 is: 137,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.30 : 305,792.85 = 91,736.30 : x
  2. Step 2: Convert to fraction form
    204,002.30/305,792.85 = 91,736.30/x
  3. Step 3: Cross multiply
    204,002.30x = 305,792.85 × 91,736.30
  4. Step 4: Simplify right side
    204,002.30x = 28,052,304,625.46
  5. Step 5: Solve for x
    x = 28,052,304,625.46/204,002.30
  6. Step 6: Final answer
    x = 137,509.75

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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.