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Finding the Fourth Proportional to 120,206.52, 165,829.14 and 77,778.72

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Solution

The fourth proportional to 120,206.52, 165,829.14 and 77,778.72 is: 107,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206.52 : 165,829.14 = 77,778.72 : x
  2. Step 2: Convert to fraction form
    120,206.52/165,829.14 = 77,778.72/x
  3. Step 3: Cross multiply
    120,206.52x = 165,829.14 × 77,778.72
  4. Step 4: Simplify right side
    120,206.52x = 12,897,978,247.90
  5. Step 5: Solve for x
    x = 12,897,978,247.90/120,206.52
  6. Step 6: Final answer
    x = 107,298.49

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