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Finding the Fourth Proportional to 206,592.34, 309,940.61 and 100,027.34

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Solution

The fourth proportional to 206,592.34, 309,940.61 and 100,027.34 is: 150,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.34 : 309,940.61 = 100,027.34 : x
  2. Step 2: Convert to fraction form
    206,592.34/309,940.61 = 100,027.34/x
  3. Step 3: Cross multiply
    206,592.34x = 309,940.61 × 100,027.34
  4. Step 4: Simplify right side
    206,592.34x = 31,002,534,776.28
  5. Step 5: Solve for x
    x = 31,002,534,776.28/206,592.34
  6. Step 6: Final answer
    x = 150,066.24

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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.