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Finding the Fourth Proportional to 102,077.64, 153,100.26 and 52,194.60

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Solution

The fourth proportional to 102,077.64, 153,100.26 and 52,194.60 is: 78,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,077.64 : 153,100.26 = 52,194.60 : x
  2. Step 2: Convert to fraction form
    102,077.64/153,100.26 = 52,194.60/x
  3. Step 3: Cross multiply
    102,077.64x = 153,100.26 × 52,194.60
  4. Step 4: Simplify right side
    102,077.64x = 7,991,006,830.60
  5. Step 5: Solve for x
    x = 7,991,006,830.60/102,077.64
  6. Step 6: Final answer
    x = 78,283.62

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