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Finding the Fourth Proportional to 264,351.86, 364,805.91 and 143,493.06

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Solution

The fourth proportional to 264,351.86, 364,805.91 and 143,493.06 is: 198,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,351.86 : 364,805.91 = 143,493.06 : x
  2. Step 2: Convert to fraction form
    264,351.86/364,805.91 = 143,493.06/x
  3. Step 3: Cross multiply
    264,351.86x = 364,805.91 × 143,493.06
  4. Step 4: Simplify right side
    264,351.86x = 52,347,116,331.98
  5. Step 5: Solve for x
    x = 52,347,116,331.98/264,351.86
  6. Step 6: Final answer
    x = 198,020.61

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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.