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Finding the Fourth Proportional to 264,311.38, 364,752.33 and 143,453.74

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Solution

The fourth proportional to 264,311.38, 364,752.33 and 143,453.74 is: 197,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,311.38 : 364,752.33 = 143,453.74 : x
  2. Step 2: Convert to fraction form
    264,311.38/364,752.33 = 143,453.74/x
  3. Step 3: Cross multiply
    264,311.38x = 364,752.33 × 143,453.74
  4. Step 4: Simplify right side
    264,311.38x = 52,325,085,912.21
  5. Step 5: Solve for x
    x = 52,325,085,912.21/264,311.38
  6. Step 6: Final answer
    x = 197,967.59

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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.