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Finding the Fourth Proportional to 140,997, 211,501.26 and 35,818.68

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Solution

The fourth proportional to 140,997, 211,501.26 and 35,818.68 is: 53,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,997 : 211,501.26 = 35,818.68 : x
  2. Step 2: Convert to fraction form
    140,997/211,501.26 = 35,818.68/x
  3. Step 3: Cross multiply
    140,997x = 211,501.26 × 35,818.68
  4. Step 4: Simplify right side
    140,997x = 7,575,695,951.54
  5. Step 5: Solve for x
    x = 7,575,695,951.54/140,997
  6. Step 6: Final answer
    x = 53,729.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.