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Finding the Fourth Proportional to 264,766.98, 365,380.67 and 143,908.25

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Solution

The fourth proportional to 264,766.98, 365,380.67 and 143,908.25 is: 198,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,766.98 : 365,380.67 = 143,908.25 : x
  2. Step 2: Convert to fraction form
    264,766.98/365,380.67 = 143,908.25/x
  3. Step 3: Cross multiply
    264,766.98x = 365,380.67 × 143,908.25
  4. Step 4: Simplify right side
    264,766.98x = 52,581,290,257.08
  5. Step 5: Solve for x
    x = 52,581,290,257.08/264,766.98
  6. Step 6: Final answer
    x = 198,594.59

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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.