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Finding the Fourth Proportional to 256,141.38, 384,206.64 and 85,375.44

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Solution

The fourth proportional to 256,141.38, 384,206.64 and 85,375.44 is: 128,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,141.38 : 384,206.64 = 85,375.44 : x
  2. Step 2: Convert to fraction form
    256,141.38/384,206.64 = 85,375.44/x
  3. Step 3: Cross multiply
    256,141.38x = 384,206.64 × 85,375.44
  4. Step 4: Simplify right side
    256,141.38x = 32,801,810,940.92
  5. Step 5: Solve for x
    x = 32,801,810,940.92/256,141.38
  6. Step 6: Final answer
    x = 128,061.35

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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.