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Finding the Fourth Proportional to 226,010.64, 311,911.92 and 125,408.64

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Solution

The fourth proportional to 226,010.64, 311,911.92 and 125,408.64 is: 173,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,010.64 : 311,911.92 = 125,408.64 : x
  2. Step 2: Convert to fraction form
    226,010.64/311,911.92 = 125,408.64/x
  3. Step 3: Cross multiply
    226,010.64x = 311,911.92 × 125,408.64
  4. Step 4: Simplify right side
    226,010.64x = 39,116,449,686.99
  5. Step 5: Solve for x
    x = 39,116,449,686.99/226,010.64
  6. Step 6: Final answer
    x = 173,073.49

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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.