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Finding the Fourth Proportional to 208,519.53, 287,757.08 and 113,026.23

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Solution

The fourth proportional to 208,519.53, 287,757.08 and 113,026.23 is: 155,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,519.53 : 287,757.08 = 113,026.23 : x
  2. Step 2: Convert to fraction form
    208,519.53/287,757.08 = 113,026.23/x
  3. Step 3: Cross multiply
    208,519.53x = 287,757.08 × 113,026.23
  4. Step 4: Simplify right side
    208,519.53x = 32,524,098,190.77
  5. Step 5: Solve for x
    x = 32,524,098,190.77/208,519.53
  6. Step 6: Final answer
    x = 155,976.27

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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.