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Finding the Fourth Proportional to 109,946.30, 164,919.45 and 82,298.30

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Solution

The fourth proportional to 109,946.30, 164,919.45 and 82,298.30 is: 123,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946.30 : 164,919.45 = 82,298.30 : x
  2. Step 2: Convert to fraction form
    109,946.30/164,919.45 = 82,298.30/x
  3. Step 3: Cross multiply
    109,946.30x = 164,919.45 × 82,298.30
  4. Step 4: Simplify right side
    109,946.30x = 13,572,590,371.94
  5. Step 5: Solve for x
    x = 13,572,590,371.94/109,946.30
  6. Step 6: Final answer
    x = 123,447.45

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