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Finding the Fourth Proportional to 226,585.71, 339,906.24 and 76,868.82

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Solution

The fourth proportional to 226,585.71, 339,906.24 and 76,868.82 is: 115,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,585.71 : 339,906.24 = 76,868.82 : x
  2. Step 2: Convert to fraction form
    226,585.71/339,906.24 = 76,868.82/x
  3. Step 3: Cross multiply
    226,585.71x = 339,906.24 × 76,868.82
  4. Step 4: Simplify right side
    226,585.71x = 26,128,191,579.44
  5. Step 5: Solve for x
    x = 26,128,191,579.44/226,585.71
  6. Step 6: Final answer
    x = 115,312.62

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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.