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Finding the Fourth Proportional to 140,830.35, 211,245.68 and 35,649.31

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Solution

The fourth proportional to 140,830.35, 211,245.68 and 35,649.31 is: 53,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,830.35 : 211,245.68 = 35,649.31 : x
  2. Step 2: Convert to fraction form
    140,830.35/211,245.68 = 35,649.31/x
  3. Step 3: Cross multiply
    140,830.35x = 211,245.68 × 35,649.31
  4. Step 4: Simplify right side
    140,830.35x = 7,530,762,732.48
  5. Step 5: Solve for x
    x = 7,530,762,732.48/140,830.35
  6. Step 6: Final answer
    x = 53,474.00

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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.