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Finding the Fourth Proportional to 105,978.93, 158,968.26 and 27,093.17

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Solution

The fourth proportional to 105,978.93, 158,968.26 and 27,093.17 is: 40,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,978.93 : 158,968.26 = 27,093.17 : x
  2. Step 2: Convert to fraction form
    105,978.93/158,968.26 = 27,093.17/x
  3. Step 3: Cross multiply
    105,978.93x = 158,968.26 × 27,093.17
  4. Step 4: Simplify right side
    105,978.93x = 4,306,953,297.94
  5. Step 5: Solve for x
    x = 4,306,953,297.94/105,978.93
  6. Step 6: Final answer
    x = 40,639.71

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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.