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Finding the Fourth Proportional to 204,918, 282,791.16 and 115,494

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Solution

The fourth proportional to 204,918, 282,791.16 and 115,494 is: 159,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,918 : 282,791.16 = 115,494 : x
  2. Step 2: Convert to fraction form
    204,918/282,791.16 = 115,494/x
  3. Step 3: Cross multiply
    204,918x = 282,791.16 × 115,494
  4. Step 4: Simplify right side
    204,918x = 32,660,682,233.04
  5. Step 5: Solve for x
    x = 32,660,682,233.04/204,918
  6. Step 6: Final answer
    x = 159,384.15

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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.