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Finding the Fourth Proportional to 256,213.50, 384,553.46 and 136,371.06

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Solution

The fourth proportional to 256,213.50, 384,553.46 and 136,371.06 is: 204,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,213.50 : 384,553.46 = 136,371.06 : x
  2. Step 2: Convert to fraction form
    256,213.50/384,553.46 = 136,371.06/x
  3. Step 3: Cross multiply
    256,213.50x = 384,553.46 × 136,371.06
  4. Step 4: Simplify right side
    256,213.50x = 52,441,962,285.01
  5. Step 5: Solve for x
    x = 52,441,962,285.01/256,213.50
  6. Step 6: Final answer
    x = 204,680.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.