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Finding the Fourth Proportional to 204,099.76, 281,663.76 and 123,542.02

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Solution

The fourth proportional to 204,099.76, 281,663.76 and 123,542.02 is: 170,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,099.76 : 281,663.76 = 123,542.02 : x
  2. Step 2: Convert to fraction form
    204,099.76/281,663.76 = 123,542.02/x
  3. Step 3: Cross multiply
    204,099.76x = 281,663.76 × 123,542.02
  4. Step 4: Simplify right side
    204,099.76x = 34,797,309,871.20
  5. Step 5: Solve for x
    x = 34,797,309,871.20/204,099.76
  6. Step 6: Final answer
    x = 170,491.67

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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.