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Finding the Fourth Proportional to 208,236.69, 287,365.32 and 112,743.09

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Solution

The fourth proportional to 208,236.69, 287,365.32 and 112,743.09 is: 155,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,236.69 : 287,365.32 = 112,743.09 : x
  2. Step 2: Convert to fraction form
    208,236.69/287,365.32 = 112,743.09/x
  3. Step 3: Cross multiply
    208,236.69x = 287,365.32 × 112,743.09
  4. Step 4: Simplify right side
    208,236.69x = 32,398,454,135.64
  5. Step 5: Solve for x
    x = 32,398,454,135.64/208,236.69
  6. Step 6: Final answer
    x = 155,584.75

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