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Finding the Fourth Proportional to 223,982.75, 309,096.20 and 123,380.75

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Solution

The fourth proportional to 223,982.75, 309,096.20 and 123,380.75 is: 170,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,982.75 : 309,096.20 = 123,380.75 : x
  2. Step 2: Convert to fraction form
    223,982.75/309,096.20 = 123,380.75/x
  3. Step 3: Cross multiply
    223,982.75x = 309,096.20 × 123,380.75
  4. Step 4: Simplify right side
    223,982.75x = 38,136,522,059.34
  5. Step 5: Solve for x
    x = 38,136,522,059.34/223,982.75
  6. Step 6: Final answer
    x = 170,265.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.