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Finding the Fourth Proportional to 256,134.20, 384,197.70 and 115,892.60

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Solution

The fourth proportional to 256,134.20, 384,197.70 and 115,892.60 is: 173,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134.20 : 384,197.70 = 115,892.60 : x
  2. Step 2: Convert to fraction form
    256,134.20/384,197.70 = 115,892.60/x
  3. Step 3: Cross multiply
    256,134.20x = 384,197.70 × 115,892.60
  4. Step 4: Simplify right side
    256,134.20x = 44,525,670,367.02
  5. Step 5: Solve for x
    x = 44,525,670,367.02/256,134.20
  6. Step 6: Final answer
    x = 173,837.27

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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.