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Finding the Fourth Proportional to 256,093.50, 384,050.06 and 85,268.83

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Solution

The fourth proportional to 256,093.50, 384,050.06 and 85,268.83 is: 127,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.50 : 384,050.06 = 85,268.83 : x
  2. Step 2: Convert to fraction form
    256,093.50/384,050.06 = 85,268.83/x
  3. Step 3: Cross multiply
    256,093.50x = 384,050.06 × 85,268.83
  4. Step 4: Simplify right side
    256,093.50x = 32,747,499,335.83
  5. Step 5: Solve for x
    x = 32,747,499,335.83/256,093.50
  6. Step 6: Final answer
    x = 127,873.21

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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.