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Finding the Fourth Proportional to 208,896.26, 313,314.32 and 66,757.74

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Solution

The fourth proportional to 208,896.26, 313,314.32 and 66,757.74 is: 100,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,896.26 : 313,314.32 = 66,757.74 : x
  2. Step 2: Convert to fraction form
    208,896.26/313,314.32 = 66,757.74/x
  3. Step 3: Cross multiply
    208,896.26x = 313,314.32 × 66,757.74
  4. Step 4: Simplify right side
    208,896.26x = 20,916,155,912.84
  5. Step 5: Solve for x
    x = 20,916,155,912.84/208,896.26
  6. Step 6: Final answer
    x = 100,127.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.