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Finding the Fourth Proportional to 256,049.28, 353,348.26 and 142,872.02

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Solution

The fourth proportional to 256,049.28, 353,348.26 and 142,872.02 is: 197,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,049.28 : 353,348.26 = 142,872.02 : x
  2. Step 2: Convert to fraction form
    256,049.28/353,348.26 = 142,872.02/x
  3. Step 3: Cross multiply
    256,049.28x = 353,348.26 × 142,872.02
  4. Step 4: Simplify right side
    256,049.28x = 50,483,579,669.69
  5. Step 5: Solve for x
    x = 50,483,579,669.69/256,049.28
  6. Step 6: Final answer
    x = 197,163.53

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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.