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Finding the Fourth Proportional to 205,774.50, 283,979.84 and 115,125.06

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Solution

The fourth proportional to 205,774.50, 283,979.84 and 115,125.06 is: 158,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,774.50 : 283,979.84 = 115,125.06 : x
  2. Step 2: Convert to fraction form
    205,774.50/283,979.84 = 115,125.06/x
  3. Step 3: Cross multiply
    205,774.50x = 283,979.84 × 115,125.06
  4. Step 4: Simplify right side
    205,774.50x = 32,693,196,118.79
  5. Step 5: Solve for x
    x = 32,693,196,118.79/205,774.50
  6. Step 6: Final answer
    x = 158,878.75

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