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Finding the Fourth Proportional to 140,830.56, 211,245.99 and 35,649.53

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Solution

The fourth proportional to 140,830.56, 211,245.99 and 35,649.53 is: 53,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,830.56 : 211,245.99 = 35,649.53 : x
  2. Step 2: Convert to fraction form
    140,830.56/211,245.99 = 35,649.53/x
  3. Step 3: Cross multiply
    140,830.56x = 211,245.99 × 35,649.53
  4. Step 4: Simplify right side
    140,830.56x = 7,530,820,257.88
  5. Step 5: Solve for x
    x = 7,530,820,257.88/140,830.56
  6. Step 6: Final answer
    x = 53,474.33

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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.