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Finding the Fourth Proportional to 207,683.60, 311,509.20 and 81,299.30

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Solution

The fourth proportional to 207,683.60, 311,509.20 and 81,299.30 is: 121,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,683.60 : 311,509.20 = 81,299.30 : x
  2. Step 2: Convert to fraction form
    207,683.60/311,509.20 = 81,299.30/x
  3. Step 3: Cross multiply
    207,683.60x = 311,509.20 × 81,299.30
  4. Step 4: Simplify right side
    207,683.60x = 25,325,479,903.56
  5. Step 5: Solve for x
    x = 25,325,479,903.56/207,683.60
  6. Step 6: Final answer
    x = 121,942.61

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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.