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Finding the Fourth Proportional to 102,582.84, 153,469.38 and 77,694.60

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Solution

The fourth proportional to 102,582.84, 153,469.38 and 77,694.60 is: 116,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582.84 : 153,469.38 = 77,694.60 : x
  2. Step 2: Convert to fraction form
    102,582.84/153,469.38 = 77,694.60/x
  3. Step 3: Cross multiply
    102,582.84x = 153,469.38 × 77,694.60
  4. Step 4: Simplify right side
    102,582.84x = 11,923,742,091.35
  5. Step 5: Solve for x
    x = 11,923,742,091.35/102,582.84
  6. Step 6: Final answer
    x = 116,235.25

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