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Finding the Fourth Proportional to 256,204.20, 384,306.30 and 181,408.80

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Solution

The fourth proportional to 256,204.20, 384,306.30 and 181,408.80 is: 272,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,204.20 : 384,306.30 = 181,408.80 : x
  2. Step 2: Convert to fraction form
    256,204.20/384,306.30 = 181,408.80/x
  3. Step 3: Cross multiply
    256,204.20x = 384,306.30 × 181,408.80
  4. Step 4: Simplify right side
    256,204.20x = 69,716,544,715.44
  5. Step 5: Solve for x
    x = 69,716,544,715.44/256,204.20
  6. Step 6: Final answer
    x = 272,113.20

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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.