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Finding the Fourth Proportional to 120,705.33, 166,497.57 and 77,740.50

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Solution

The fourth proportional to 120,705.33, 166,497.57 and 77,740.50 is: 107,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,705.33 : 166,497.57 = 77,740.50 : x
  2. Step 2: Convert to fraction form
    120,705.33/166,497.57 = 77,740.50/x
  3. Step 3: Cross multiply
    120,705.33x = 166,497.57 × 77,740.50
  4. Step 4: Simplify right side
    120,705.33x = 12,943,604,340.59
  5. Step 5: Solve for x
    x = 12,943,604,340.59/120,705.33
  6. Step 6: Final answer
    x = 107,233.08

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