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Finding the Fourth Proportional to 83,200.14, 114,802.92 and 47,390.85

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Solution

The fourth proportional to 83,200.14, 114,802.92 and 47,390.85 is: 65,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.14 : 114,802.92 = 47,390.85 : x
  2. Step 2: Convert to fraction form
    83,200.14/114,802.92 = 47,390.85/x
  3. Step 3: Cross multiply
    83,200.14x = 114,802.92 × 47,390.85
  4. Step 4: Simplify right side
    83,200.14x = 5,440,607,961.28
  5. Step 5: Solve for x
    x = 5,440,607,961.28/83,200.14
  6. Step 6: Final answer
    x = 65,391.81

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