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Finding the Fourth Proportional to 206,334.42, 309,399.57 and 73,194.72

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Solution

The fourth proportional to 206,334.42, 309,399.57 and 73,194.72 is: 109,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,334.42 : 309,399.57 = 73,194.72 : x
  2. Step 2: Convert to fraction form
    206,334.42/309,399.57 = 73,194.72/x
  3. Step 3: Cross multiply
    206,334.42x = 309,399.57 × 73,194.72
  4. Step 4: Simplify right side
    206,334.42x = 22,646,414,894.27
  5. Step 5: Solve for x
    x = 22,646,414,894.27/206,334.42
  6. Step 6: Final answer
    x = 109,755.88

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1.5x scale

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.