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Finding the Fourth Proportional to 105,872.80, 158,809.20 and 53,384.80

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Solution

The fourth proportional to 105,872.80, 158,809.20 and 53,384.80 is: 80,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,872.80 : 158,809.20 = 53,384.80 : x
  2. Step 2: Convert to fraction form
    105,872.80/158,809.20 = 53,384.80/x
  3. Step 3: Cross multiply
    105,872.80x = 158,809.20 × 53,384.80
  4. Step 4: Simplify right side
    105,872.80x = 8,477,997,380.16
  5. Step 5: Solve for x
    x = 8,477,997,380.16/105,872.80
  6. Step 6: Final answer
    x = 80,077.20

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