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Finding the Fourth Proportional to 206,348.85, 284,741.73 and 115,684.02

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Solution

The fourth proportional to 206,348.85, 284,741.73 and 115,684.02 is: 159,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,348.85 : 284,741.73 = 115,684.02 : x
  2. Step 2: Convert to fraction form
    206,348.85/284,741.73 = 115,684.02/x
  3. Step 3: Cross multiply
    206,348.85x = 284,741.73 × 115,684.02
  4. Step 4: Simplify right side
    206,348.85x = 32,940,067,988.15
  5. Step 5: Solve for x
    x = 32,940,067,988.15/206,348.85
  6. Step 6: Final answer
    x = 159,632.91

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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.