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Finding the Fourth Proportional to 102,409.64, 153,640.38 and 43,214.84

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Solution

The fourth proportional to 102,409.64, 153,640.38 and 43,214.84 is: 64,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.64 : 153,640.38 = 43,214.84 : x
  2. Step 2: Convert to fraction form
    102,409.64/153,640.38 = 43,214.84/x
  3. Step 3: Cross multiply
    102,409.64x = 153,640.38 × 43,214.84
  4. Step 4: Simplify right side
    102,409.64x = 6,639,544,439.24
  5. Step 5: Solve for x
    x = 6,639,544,439.24/102,409.64
  6. Step 6: Final answer
    x = 64,833.20

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