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Finding the Fourth Proportional to 226,031.13, 311,919.66 and 129,233.97

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Solution

The fourth proportional to 226,031.13, 311,919.66 and 129,233.97 is: 178,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,031.13 : 311,919.66 = 129,233.97 : x
  2. Step 2: Convert to fraction form
    226,031.13/311,919.66 = 129,233.97/x
  3. Step 3: Cross multiply
    226,031.13x = 311,919.66 × 129,233.97
  4. Step 4: Simplify right side
    226,031.13x = 40,310,615,982.85
  5. Step 5: Solve for x
    x = 40,310,615,982.85/226,031.13
  6. Step 6: Final answer
    x = 178,340.99

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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.