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Finding the Fourth Proportional to 206,240.16, 309,354.57 and 65,996.76

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Solution

The fourth proportional to 206,240.16, 309,354.57 and 65,996.76 is: 98,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,240.16 : 309,354.57 = 65,996.76 : x
  2. Step 2: Convert to fraction form
    206,240.16/309,354.57 = 65,996.76/x
  3. Step 3: Cross multiply
    206,240.16x = 309,354.57 × 65,996.76
  4. Step 4: Simplify right side
    206,240.16x = 20,416,399,311.19
  5. Step 5: Solve for x
    x = 20,416,399,311.19/206,240.16
  6. Step 6: Final answer
    x = 98,993.33

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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.