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Finding the Fourth Proportional to 256,670.87, 384,976.89 and 67,149.53

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Solution

The fourth proportional to 256,670.87, 384,976.89 and 67,149.53 is: 100,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,670.87 : 384,976.89 = 67,149.53 : x
  2. Step 2: Convert to fraction form
    256,670.87/384,976.89 = 67,149.53/x
  3. Step 3: Cross multiply
    256,670.87x = 384,976.89 × 67,149.53
  4. Step 4: Simplify right side
    256,670.87x = 25,851,016,938.30
  5. Step 5: Solve for x
    x = 25,851,016,938.30/256,670.87
  6. Step 6: Final answer
    x = 100,716.60

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Why These Related Problems?

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