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Finding the Fourth Proportional to 206,788.80, 310,013.68 and 73,593.21

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Solution

The fourth proportional to 206,788.80, 310,013.68 and 73,593.21 is: 110,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,788.80 : 310,013.68 = 73,593.21 : x
  2. Step 2: Convert to fraction form
    206,788.80/310,013.68 = 73,593.21/x
  3. Step 3: Cross multiply
    206,788.80x = 310,013.68 × 73,593.21
  4. Step 4: Simplify right side
    206,788.80x = 22,814,901,855.11
  5. Step 5: Solve for x
    x = 22,814,901,855.11/206,788.80
  6. Step 6: Final answer
    x = 110,329.49

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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.