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Finding the Fourth Proportional to 208,591.92, 287,845.38 and 117,942.66

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Solution

The fourth proportional to 208,591.92, 287,845.38 and 117,942.66 is: 162,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.92 : 287,845.38 = 117,942.66 : x
  2. Step 2: Convert to fraction form
    208,591.92/287,845.38 = 117,942.66/x
  3. Step 3: Cross multiply
    208,591.92x = 287,845.38 × 117,942.66
  4. Step 4: Simplify right side
    208,591.92x = 33,949,249,785.91
  5. Step 5: Solve for x
    x = 33,949,249,785.91/208,591.92
  6. Step 6: Final answer
    x = 162,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.