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Finding the Fourth Proportional to 120,214.26, 180,378.09 and 53,648.46

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Solution

The fourth proportional to 120,214.26, 180,378.09 and 53,648.46 is: 80,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.26 : 180,378.09 = 53,648.46 : x
  2. Step 2: Convert to fraction form
    120,214.26/180,378.09 = 53,648.46/x
  3. Step 3: Cross multiply
    120,214.26x = 180,378.09 × 53,648.46
  4. Step 4: Simplify right side
    120,214.26x = 9,677,006,746.24
  5. Step 5: Solve for x
    x = 9,677,006,746.24/120,214.26
  6. Step 6: Final answer
    x = 80,497.99

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