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Finding the Fourth Proportional to 193,851.57, 290,791.22 and 51,696.09

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Solution

The fourth proportional to 193,851.57, 290,791.22 and 51,696.09 is: 77,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,851.57 : 290,791.22 = 51,696.09 : x
  2. Step 2: Convert to fraction form
    193,851.57/290,791.22 = 51,696.09/x
  3. Step 3: Cross multiply
    193,851.57x = 290,791.22 × 51,696.09
  4. Step 4: Simplify right side
    193,851.57x = 15,032,769,080.33
  5. Step 5: Solve for x
    x = 15,032,769,080.33/193,851.57
  6. Step 6: Final answer
    x = 77,547.83

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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.