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Finding the Fourth Proportional to 102,164.11, 140,906.58 and 66,365.66

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Solution

The fourth proportional to 102,164.11, 140,906.58 and 66,365.66 is: 91,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.11 : 140,906.58 = 66,365.66 : x
  2. Step 2: Convert to fraction form
    102,164.11/140,906.58 = 66,365.66/x
  3. Step 3: Cross multiply
    102,164.11x = 140,906.58 × 66,365.66
  4. Step 4: Simplify right side
    102,164.11x = 9,351,358,180.04
  5. Step 5: Solve for x
    x = 9,351,358,180.04/102,164.11
  6. Step 6: Final answer
    x = 91,532.71

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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.