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Finding the Fourth Proportional to 256,125.26, 353,453.39 and 141,404.12

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Solution

The fourth proportional to 256,125.26, 353,453.39 and 141,404.12 is: 195,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,125.26 : 353,453.39 = 141,404.12 : x
  2. Step 2: Convert to fraction form
    256,125.26/353,453.39 = 141,404.12/x
  3. Step 3: Cross multiply
    256,125.26x = 353,453.39 × 141,404.12
  4. Step 4: Simplify right side
    256,125.26x = 49,979,763,099.68
  5. Step 5: Solve for x
    x = 49,979,763,099.68/256,125.26
  6. Step 6: Final answer
    x = 195,137.97

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