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Finding the Fourth Proportional to 206,459.80, 309,884.10 and 127,727.80

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Solution

The fourth proportional to 206,459.80, 309,884.10 and 127,727.80 is: 191,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,459.80 : 309,884.10 = 127,727.80 : x
  2. Step 2: Convert to fraction form
    206,459.80/309,884.10 = 127,727.80/x
  3. Step 3: Cross multiply
    206,459.80x = 309,884.10 × 127,727.80
  4. Step 4: Simplify right side
    206,459.80x = 39,580,814,347.98
  5. Step 5: Solve for x
    x = 39,580,814,347.98/206,459.80
  6. Step 6: Final answer
    x = 191,711.97

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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.