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Finding the Fourth Proportional to 193,744.32, 290,522.88 and 81,392.64

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Solution

The fourth proportional to 193,744.32, 290,522.88 and 81,392.64 is: 122,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,744.32 : 290,522.88 = 81,392.64 : x
  2. Step 2: Convert to fraction form
    193,744.32/290,522.88 = 81,392.64/x
  3. Step 3: Cross multiply
    193,744.32x = 290,522.88 × 81,392.64
  4. Step 4: Simplify right side
    193,744.32x = 23,646,424,183.60
  5. Step 5: Solve for x
    x = 23,646,424,183.60/193,744.32
  6. Step 6: Final answer
    x = 122,049.64

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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.