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Finding the Fourth Proportional to 205,685.83, 283,840.77 and 115,041.97

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Solution

The fourth proportional to 205,685.83, 283,840.77 and 115,041.97 is: 158,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,685.83 : 283,840.77 = 115,041.97 : x
  2. Step 2: Convert to fraction form
    205,685.83/283,840.77 = 115,041.97/x
  3. Step 3: Cross multiply
    205,685.83x = 283,840.77 × 115,041.97
  4. Step 4: Simplify right side
    205,685.83x = 32,653,601,347.12
  5. Step 5: Solve for x
    x = 32,653,601,347.12/205,685.83
  6. Step 6: Final answer
    x = 158,754.74

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