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Finding the Fourth Proportional to 122,411.25, 168,885 and 77,092.97

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Solution

The fourth proportional to 122,411.25, 168,885 and 77,092.97 is: 106,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411.25 : 168,885 = 77,092.97 : x
  2. Step 2: Convert to fraction form
    122,411.25/168,885 = 77,092.97/x
  3. Step 3: Cross multiply
    122,411.25x = 168,885 × 77,092.97
  4. Step 4: Simplify right side
    122,411.25x = 13,019,845,394.03
  5. Step 5: Solve for x
    x = 13,019,845,394.03/122,411.25
  6. Step 6: Final answer
    x = 106,361.51

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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.