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Finding the Fourth Proportional to 206,411.22, 284,843.79 and 115,767.36

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Solution

The fourth proportional to 206,411.22, 284,843.79 and 115,767.36 is: 159,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.22 : 284,843.79 = 115,767.36 : x
  2. Step 2: Convert to fraction form
    206,411.22/284,843.79 = 115,767.36/x
  3. Step 3: Cross multiply
    206,411.22x = 284,843.79 × 115,767.36
  4. Step 4: Simplify right side
    206,411.22x = 32,975,613,580.69
  5. Step 5: Solve for x
    x = 32,975,613,580.69/206,411.22
  6. Step 6: Final answer
    x = 159,756.89

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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.