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Finding the Fourth Proportional to 122,005.97, 168,344.31 and 76,657.68

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Solution

The fourth proportional to 122,005.97, 168,344.31 and 76,657.68 is: 105,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,005.97 : 168,344.31 = 76,657.68 : x
  2. Step 2: Convert to fraction form
    122,005.97/168,344.31 = 76,657.68/x
  3. Step 3: Cross multiply
    122,005.97x = 168,344.31 × 76,657.68
  4. Step 4: Simplify right side
    122,005.97x = 12,904,883,862.51
  5. Step 5: Solve for x
    x = 12,904,883,862.51/122,005.97
  6. Step 6: Final answer
    x = 105,772.56

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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.