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Finding the Fourth Proportional to 120,213.28, 165,838.46 and 77,785.48

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Solution

The fourth proportional to 120,213.28, 165,838.46 and 77,785.48 is: 107,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,213.28 : 165,838.46 = 77,785.48 : x
  2. Step 2: Convert to fraction form
    120,213.28/165,838.46 = 77,785.48/x
  3. Step 3: Cross multiply
    120,213.28x = 165,838.46 × 77,785.48
  4. Step 4: Simplify right side
    120,213.28x = 12,899,824,213.56
  5. Step 5: Solve for x
    x = 12,899,824,213.56/120,213.28
  6. Step 6: Final answer
    x = 107,307.81

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