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Finding the Fourth Proportional to 123,092.14, 185,023.65 and 81,241.21

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Solution

The fourth proportional to 123,092.14, 185,023.65 and 81,241.21 is: 122,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,092.14 : 185,023.65 = 81,241.21 : x
  2. Step 2: Convert to fraction form
    123,092.14/185,023.65 = 81,241.21/x
  3. Step 3: Cross multiply
    123,092.14x = 185,023.65 × 81,241.21
  4. Step 4: Simplify right side
    123,092.14x = 15,031,545,204.62
  5. Step 5: Solve for x
    x = 15,031,545,204.62/123,092.14
  6. Step 6: Final answer
    x = 122,116.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.