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Finding the Fourth Proportional to 256,137.57, 353,437.25 and 142,965.09

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Solution

The fourth proportional to 256,137.57, 353,437.25 and 142,965.09 is: 197,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,137.57 : 353,437.25 = 142,965.09 : x
  2. Step 2: Convert to fraction form
    256,137.57/353,437.25 = 142,965.09/x
  3. Step 3: Cross multiply
    256,137.57x = 353,437.25 × 142,965.09
  4. Step 4: Simplify right side
    256,137.57x = 50,529,187,540.78
  5. Step 5: Solve for x
    x = 50,529,187,540.78/256,137.57
  6. Step 6: Final answer
    x = 197,273.63

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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.