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Finding the Fourth Proportional to 206,425.14, 284,843.90 and 115,762.44

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Solution

The fourth proportional to 206,425.14, 284,843.90 and 115,762.44 is: 159,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425.14 : 284,843.90 = 115,762.44 : x
  2. Step 2: Convert to fraction form
    206,425.14/284,843.90 = 115,762.44/x
  3. Step 3: Cross multiply
    206,425.14x = 284,843.90 × 115,762.44
  4. Step 4: Simplify right side
    206,425.14x = 32,974,224,883.12
  5. Step 5: Solve for x
    x = 32,974,224,883.12/206,425.14
  6. Step 6: Final answer
    x = 159,739.38

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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.