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Finding the Fourth Proportional to 253,906.46, 380,913.09 and 96,131.42

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Solution

The fourth proportional to 253,906.46, 380,913.09 and 96,131.42 is: 144,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,906.46 : 380,913.09 = 96,131.42 : x
  2. Step 2: Convert to fraction form
    253,906.46/380,913.09 = 96,131.42/x
  3. Step 3: Cross multiply
    253,906.46x = 380,913.09 × 96,131.42
  4. Step 4: Simplify right side
    253,906.46x = 36,617,716,238.29
  5. Step 5: Solve for x
    x = 36,617,716,238.29/253,906.46
  6. Step 6: Final answer
    x = 144,217.35

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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.