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Finding the Fourth Proportional to 206,858.60, 309,996.30 and 127,737.80

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Solution

The fourth proportional to 206,858.60, 309,996.30 and 127,737.80 is: 191,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858.60 : 309,996.30 = 127,737.80 : x
  2. Step 2: Convert to fraction form
    206,858.60/309,996.30 = 127,737.80/x
  3. Step 3: Cross multiply
    206,858.60x = 309,996.30 × 127,737.80
  4. Step 4: Simplify right side
    206,858.60x = 39,598,245,370.14
  5. Step 5: Solve for x
    x = 39,598,245,370.14/206,858.60
  6. Step 6: Final answer
    x = 191,426.63

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1.5x scale

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.