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Finding the Fourth Proportional to 206,095.46, 284,407.49 and 114,213.96

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Solution

The fourth proportional to 206,095.46, 284,407.49 and 114,213.96 is: 157,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,095.46 : 284,407.49 = 114,213.96 : x
  2. Step 2: Convert to fraction form
    206,095.46/284,407.49 = 114,213.96/x
  3. Step 3: Cross multiply
    206,095.46x = 284,407.49 × 114,213.96
  4. Step 4: Simplify right side
    206,095.46x = 32,483,305,115.49
  5. Step 5: Solve for x
    x = 32,483,305,115.49/206,095.46
  6. Step 6: Final answer
    x = 157,612.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.