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Finding the Fourth Proportional to 205,420.86, 283,452.60 and 114,765.57

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Solution

The fourth proportional to 205,420.86, 283,452.60 and 114,765.57 is: 158,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,420.86 : 283,452.60 = 114,765.57 : x
  2. Step 2: Convert to fraction form
    205,420.86/283,452.60 = 114,765.57/x
  3. Step 3: Cross multiply
    205,420.86x = 283,452.60 × 114,765.57
  4. Step 4: Simplify right side
    205,420.86x = 32,530,599,206.98
  5. Step 5: Solve for x
    x = 32,530,599,206.98/205,420.86
  6. Step 6: Final answer
    x = 158,360.74

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