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Finding the Fourth Proportional to 206,842.18, 309,976.22 and 94,247.22

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Solution

The fourth proportional to 206,842.18, 309,976.22 and 94,247.22 is: 141,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.18 : 309,976.22 = 94,247.22 : x
  2. Step 2: Convert to fraction form
    206,842.18/309,976.22 = 94,247.22/x
  3. Step 3: Cross multiply
    206,842.18x = 309,976.22 × 94,247.22
  4. Step 4: Simplify right side
    206,842.18x = 29,214,397,001.11
  5. Step 5: Solve for x
    x = 29,214,397,001.11/206,842.18
  6. Step 6: Final answer
    x = 141,240.04

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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.