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Finding the Fourth Proportional to 107,791.90, 161,830.91 and 92,097.78

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Solution

The fourth proportional to 107,791.90, 161,830.91 and 92,097.78 is: 138,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,791.90 : 161,830.91 = 92,097.78 : x
  2. Step 2: Convert to fraction form
    107,791.90/161,830.91 = 92,097.78/x
  3. Step 3: Cross multiply
    107,791.90x = 161,830.91 × 92,097.78
  4. Step 4: Simplify right side
    107,791.90x = 14,904,267,546.38
  5. Step 5: Solve for x
    x = 14,904,267,546.38/107,791.90
  6. Step 6: Final answer
    x = 138,268.90

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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.