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Finding the Fourth Proportional to 208,511.43, 287,742.64 and 117,864.20

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Solution

The fourth proportional to 208,511.43, 287,742.64 and 117,864.20 is: 162,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,511.43 : 287,742.64 = 117,864.20 : x
  2. Step 2: Convert to fraction form
    208,511.43/287,742.64 = 117,864.20/x
  3. Step 3: Cross multiply
    208,511.43x = 287,742.64 × 117,864.20
  4. Step 4: Simplify right side
    208,511.43x = 33,914,556,069.49
  5. Step 5: Solve for x
    x = 33,914,556,069.49/208,511.43
  6. Step 6: Final answer
    x = 162,650.82

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