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Finding the Fourth Proportional to 208,537.38, 287,781.39 and 113,043.24

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Solution

The fourth proportional to 208,537.38, 287,781.39 and 113,043.24 is: 155,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537.38 : 287,781.39 = 113,043.24 : x
  2. Step 2: Convert to fraction form
    208,537.38/287,781.39 = 113,043.24/x
  3. Step 3: Cross multiply
    208,537.38x = 287,781.39 × 113,043.24
  4. Step 4: Simplify right side
    208,537.38x = 32,531,740,737.30
  5. Step 5: Solve for x
    x = 32,531,740,737.30/208,537.38
  6. Step 6: Final answer
    x = 155,999.57

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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.