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Finding the Fourth Proportional to 227,882.44, 314,484.11 and 125,914.47

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Solution

The fourth proportional to 227,882.44, 314,484.11 and 125,914.47 is: 173,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,882.44 : 314,484.11 = 125,914.47 : x
  2. Step 2: Convert to fraction form
    227,882.44/314,484.11 = 125,914.47/x
  3. Step 3: Cross multiply
    227,882.44x = 314,484.11 × 125,914.47
  4. Step 4: Simplify right side
    227,882.44x = 39,598,099,404.50
  5. Step 5: Solve for x
    x = 39,598,099,404.50/227,882.44
  6. Step 6: Final answer
    x = 173,765.47

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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.