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Finding the Fourth Proportional to 264,532.38, 365,057.32 and 143,674.80

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Solution

The fourth proportional to 264,532.38, 365,057.32 and 143,674.80 is: 198,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,532.38 : 365,057.32 = 143,674.80 : x
  2. Step 2: Convert to fraction form
    264,532.38/365,057.32 = 143,674.80/x
  3. Step 3: Cross multiply
    264,532.38x = 365,057.32 × 143,674.80
  4. Step 4: Simplify right side
    264,532.38x = 52,449,537,439.54
  5. Step 5: Solve for x
    x = 52,449,537,439.54/264,532.38
  6. Step 6: Final answer
    x = 198,272.66

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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.