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Finding the Fourth Proportional to 273,174.21, 409,662.89 and 115,414.97

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Solution

The fourth proportional to 273,174.21, 409,662.89 and 115,414.97 is: 173,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,174.21 : 409,662.89 = 115,414.97 : x
  2. Step 2: Convert to fraction form
    273,174.21/409,662.89 = 115,414.97/x
  3. Step 3: Cross multiply
    273,174.21x = 409,662.89 × 115,414.97
  4. Step 4: Simplify right side
    273,174.21x = 47,281,227,534.07
  5. Step 5: Solve for x
    x = 47,281,227,534.07/273,174.21
  6. Step 6: Final answer
    x = 173,080.86

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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.