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Finding the Fourth Proportional to 143,940.65, 198,647.82 and 83,511.31

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Solution

The fourth proportional to 143,940.65, 198,647.82 and 83,511.31 is: 115,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,940.65 : 198,647.82 = 83,511.31 : x
  2. Step 2: Convert to fraction form
    143,940.65/198,647.82 = 83,511.31/x
  3. Step 3: Cross multiply
    143,940.65x = 198,647.82 × 83,511.31
  4. Step 4: Simplify right side
    143,940.65x = 16,589,339,676.84
  5. Step 5: Solve for x
    x = 16,589,339,676.84/143,940.65
  6. Step 6: Final answer
    x = 115,251.25

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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.