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Finding the Fourth Proportional to 256,857.08, 354,500.38 and 147,940.48

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Solution

The fourth proportional to 256,857.08, 354,500.38 and 147,940.48 is: 204,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.08 : 354,500.38 = 147,940.48 : x
  2. Step 2: Convert to fraction form
    256,857.08/354,500.38 = 147,940.48/x
  3. Step 3: Cross multiply
    256,857.08x = 354,500.38 × 147,940.48
  4. Step 4: Simplify right side
    256,857.08x = 52,444,956,377.38
  5. Step 5: Solve for x
    x = 52,444,956,377.38/256,857.08
  6. Step 6: Final answer
    x = 204,179.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.