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Finding the Fourth Proportional to 208,372.56, 287,553.24 and 112,879.44

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Solution

The fourth proportional to 208,372.56, 287,553.24 and 112,879.44 is: 155,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,372.56 : 287,553.24 = 112,879.44 : x
  2. Step 2: Convert to fraction form
    208,372.56/287,553.24 = 112,879.44/x
  3. Step 3: Cross multiply
    208,372.56x = 287,553.24 × 112,879.44
  4. Step 4: Simplify right side
    208,372.56x = 32,458,848,701.39
  5. Step 5: Solve for x
    x = 32,458,848,701.39/208,372.56
  6. Step 6: Final answer
    x = 155,773.14

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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.