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Finding the Fourth Proportional to 106,906.13, 160,039.70 and 64,658.45

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Solution

The fourth proportional to 106,906.13, 160,039.70 and 64,658.45 is: 96,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.13 : 160,039.70 = 64,658.45 : x
  2. Step 2: Convert to fraction form
    106,906.13/160,039.70 = 64,658.45/x
  3. Step 3: Cross multiply
    106,906.13x = 160,039.70 × 64,658.45
  4. Step 4: Simplify right side
    106,906.13x = 10,347,919,259.74
  5. Step 5: Solve for x
    x = 10,347,919,259.74/106,906.13
  6. Step 6: Final answer
    x = 96,794.44

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