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Finding the Fourth Proportional to 206,493.80, 309,740.70 and 165,021.80

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Solution

The fourth proportional to 206,493.80, 309,740.70 and 165,021.80 is: 247,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,493.80 : 309,740.70 = 165,021.80 : x
  2. Step 2: Convert to fraction form
    206,493.80/309,740.70 = 165,021.80/x
  3. Step 3: Cross multiply
    206,493.80x = 309,740.70 × 165,021.80
  4. Step 4: Simplify right side
    206,493.80x = 51,113,967,847.26
  5. Step 5: Solve for x
    x = 51,113,967,847.26/206,493.80
  6. Step 6: Final answer
    x = 247,532.70

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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.