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Finding the Fourth Proportional to 230,380.29, 317,886.26 and 128,383.38

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Solution

The fourth proportional to 230,380.29, 317,886.26 and 128,383.38 is: 177,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,380.29 : 317,886.26 = 128,383.38 : x
  2. Step 2: Convert to fraction form
    230,380.29/317,886.26 = 128,383.38/x
  3. Step 3: Cross multiply
    230,380.29x = 317,886.26 × 128,383.38
  4. Step 4: Simplify right side
    230,380.29x = 40,811,311,872.44
  5. Step 5: Solve for x
    x = 40,811,311,872.44/230,380.29
  6. Step 6: Final answer
    x = 177,147.58

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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.