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Finding the Fourth Proportional to 226,893.76, 339,822.24 and 108,648.16

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Solution

The fourth proportional to 226,893.76, 339,822.24 and 108,648.16 is: 162,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,893.76 : 339,822.24 = 108,648.16 : x
  2. Step 2: Convert to fraction form
    226,893.76/339,822.24 = 108,648.16/x
  3. Step 3: Cross multiply
    226,893.76x = 339,822.24 × 108,648.16
  4. Step 4: Simplify right side
    226,893.76x = 36,921,061,103.08
  5. Step 5: Solve for x
    x = 36,921,061,103.08/226,893.76
  6. Step 6: Final answer
    x = 162,724.00

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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.