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Finding the Fourth Proportional to 256,317.44, 384,204 and 151,185.92

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Solution

The fourth proportional to 256,317.44, 384,204 and 151,185.92 is: 226,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,317.44 : 384,204 = 151,185.92 : x
  2. Step 2: Convert to fraction form
    256,317.44/384,204 = 151,185.92/x
  3. Step 3: Cross multiply
    256,317.44x = 384,204 × 151,185.92
  4. Step 4: Simplify right side
    256,317.44x = 58,086,235,207.68
  5. Step 5: Solve for x
    x = 58,086,235,207.68/256,317.44
  6. Step 6: Final answer
    x = 226,618.35

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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.