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Finding the Fourth Proportional to 206,597.44, 309,793.74 and 73,457.68

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Solution

The fourth proportional to 206,597.44, 309,793.74 and 73,457.68 is: 110,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.44 : 309,793.74 = 73,457.68 : x
  2. Step 2: Convert to fraction form
    206,597.44/309,793.74 = 73,457.68/x
  3. Step 3: Cross multiply
    206,597.44x = 309,793.74 × 73,457.68
  4. Step 4: Simplify right side
    206,597.44x = 22,756,729,418.92
  5. Step 5: Solve for x
    x = 22,756,729,418.92/206,597.44
  6. Step 6: Final answer
    x = 110,150.10

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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.