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Finding the Fourth Proportional to 106,194.66, 159,292.42 and 43,015.97

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Solution

The fourth proportional to 106,194.66, 159,292.42 and 43,015.97 is: 64,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,194.66 : 159,292.42 = 43,015.97 : x
  2. Step 2: Convert to fraction form
    106,194.66/159,292.42 = 43,015.97/x
  3. Step 3: Cross multiply
    106,194.66x = 159,292.42 × 43,015.97
  4. Step 4: Simplify right side
    106,194.66x = 6,852,118,716.61
  5. Step 5: Solve for x
    x = 6,852,118,716.61/106,194.66
  6. Step 6: Final answer
    x = 64,524.13

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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.