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Finding the Fourth Proportional to 205,652.28, 283,871.52 and 141,334.56

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Solution

The fourth proportional to 205,652.28, 283,871.52 and 141,334.56 is: 195,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,652.28 : 283,871.52 = 141,334.56 : x
  2. Step 2: Convert to fraction form
    205,652.28/283,871.52 = 141,334.56/x
  3. Step 3: Cross multiply
    205,652.28x = 283,871.52 × 141,334.56
  4. Step 4: Simplify right side
    205,652.28x = 40,120,856,375.73
  5. Step 5: Solve for x
    x = 40,120,856,375.73/205,652.28
  6. Step 6: Final answer
    x = 195,090.74

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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.