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Finding the Fourth Proportional to 206,857.90, 310,286.85 and 135,999.10

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Solution

The fourth proportional to 206,857.90, 310,286.85 and 135,999.10 is: 203,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.90 : 310,286.85 = 135,999.10 : x
  2. Step 2: Convert to fraction form
    206,857.90/310,286.85 = 135,999.10/x
  3. Step 3: Cross multiply
    206,857.90x = 310,286.85 × 135,999.10
  4. Step 4: Simplify right side
    206,857.90x = 42,198,732,341.84
  5. Step 5: Solve for x
    x = 42,198,732,341.84/206,857.90
  6. Step 6: Final answer
    x = 203,998.65

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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.