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Finding the Fourth Proportional to 231,057.48, 318,823.38 and 130,453.32

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Solution

The fourth proportional to 231,057.48, 318,823.38 and 130,453.32 is: 180,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,057.48 : 318,823.38 = 130,453.32 : x
  2. Step 2: Convert to fraction form
    231,057.48/318,823.38 = 130,453.32/x
  3. Step 3: Cross multiply
    231,057.48x = 318,823.38 × 130,453.32
  4. Step 4: Simplify right side
    231,057.48x = 41,591,568,414.62
  5. Step 5: Solve for x
    x = 41,591,568,414.62/231,057.48
  6. Step 6: Final answer
    x = 180,005.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.