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Finding the Fourth Proportional to 230,097.32, 345,229.04 and 80,359.71

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Solution

The fourth proportional to 230,097.32, 345,229.04 and 80,359.71 is: 120,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,097.32 : 345,229.04 = 80,359.71 : x
  2. Step 2: Convert to fraction form
    230,097.32/345,229.04 = 80,359.71/x
  3. Step 3: Cross multiply
    230,097.32x = 345,229.04 × 80,359.71
  4. Step 4: Simplify right side
    230,097.32x = 27,742,505,738.88
  5. Step 5: Solve for x
    x = 27,742,505,738.88/230,097.32
  6. Step 6: Final answer
    x = 120,568.57

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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.