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Finding the Fourth Proportional to 227,266.35, 340,825.33 and 75,422.64

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Solution

The fourth proportional to 227,266.35, 340,825.33 and 75,422.64 is: 113,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,266.35 : 340,825.33 = 75,422.64 : x
  2. Step 2: Convert to fraction form
    227,266.35/340,825.33 = 75,422.64/x
  3. Step 3: Cross multiply
    227,266.35x = 340,825.33 × 75,422.64
  4. Step 4: Simplify right side
    227,266.35x = 25,705,946,167.47
  5. Step 5: Solve for x
    x = 25,705,946,167.47/227,266.35
  6. Step 6: Final answer
    x = 113,109.34

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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.