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Finding the Fourth Proportional to 106,296.27, 146,820.51 and 77,178.20

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Solution

The fourth proportional to 106,296.27, 146,820.51 and 77,178.20 is: 106,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296.27 : 146,820.51 = 77,178.20 : x
  2. Step 2: Convert to fraction form
    106,296.27/146,820.51 = 77,178.20/x
  3. Step 3: Cross multiply
    106,296.27x = 146,820.51 × 77,178.20
  4. Step 4: Simplify right side
    106,296.27x = 11,331,341,950.78
  5. Step 5: Solve for x
    x = 11,331,341,950.78/106,296.27
  6. Step 6: Final answer
    x = 106,601.50

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