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Finding the Fourth Proportional to 145,538.13, 200,842.32 and 81,876

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Solution

The fourth proportional to 145,538.13, 200,842.32 and 81,876 is: 112,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538.13 : 200,842.32 = 81,876 : x
  2. Step 2: Convert to fraction form
    145,538.13/200,842.32 = 81,876/x
  3. Step 3: Cross multiply
    145,538.13x = 200,842.32 × 81,876
  4. Step 4: Simplify right side
    145,538.13x = 16,444,165,792.32
  5. Step 5: Solve for x
    x = 16,444,165,792.32/145,538.13
  6. Step 6: Final answer
    x = 112,988.71

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