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Finding the Fourth Proportional to 226,706.10, 339,767.55 and 137,865.30

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Solution

The fourth proportional to 226,706.10, 339,767.55 and 137,865.30 is: 206,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,706.10 : 339,767.55 = 137,865.30 : x
  2. Step 2: Convert to fraction form
    226,706.10/339,767.55 = 137,865.30/x
  3. Step 3: Cross multiply
    226,706.10x = 339,767.55 × 137,865.30
  4. Step 4: Simplify right side
    226,706.10x = 46,842,155,211.02
  5. Step 5: Solve for x
    x = 46,842,155,211.02/226,706.10
  6. Step 6: Final answer
    x = 206,620.62

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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.