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Finding the Fourth Proportional to 227,031.80, 340,029.30 and 133,719.80

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Solution

The fourth proportional to 227,031.80, 340,029.30 and 133,719.80 is: 200,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,031.80 : 340,029.30 = 133,719.80 : x
  2. Step 2: Convert to fraction form
    227,031.80/340,029.30 = 133,719.80/x
  3. Step 3: Cross multiply
    227,031.80x = 340,029.30 × 133,719.80
  4. Step 4: Simplify right side
    227,031.80x = 45,468,649,990.14
  5. Step 5: Solve for x
    x = 45,468,649,990.14/227,031.80
  6. Step 6: Final answer
    x = 200,274.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.