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Finding the Fourth Proportional to 226,021, 311,923.56 and 125,419

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Solution

The fourth proportional to 226,021, 311,923.56 and 125,419 is: 173,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,021 : 311,923.56 = 125,419 : x
  2. Step 2: Convert to fraction form
    226,021/311,923.56 = 125,419/x
  3. Step 3: Cross multiply
    226,021x = 311,923.56 × 125,419
  4. Step 4: Simplify right side
    226,021x = 39,121,140,971.64
  5. Step 5: Solve for x
    x = 39,121,140,971.64/226,021
  6. Step 6: Final answer
    x = 173,086.31

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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.