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Finding the Fourth Proportional to 140,651.82, 210,976.11 and 56,433.42

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Solution

The fourth proportional to 140,651.82, 210,976.11 and 56,433.42 is: 84,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,651.82 : 210,976.11 = 56,433.42 : x
  2. Step 2: Convert to fraction form
    140,651.82/210,976.11 = 56,433.42/x
  3. Step 3: Cross multiply
    140,651.82x = 210,976.11 × 56,433.42
  4. Step 4: Simplify right side
    140,651.82x = 11,906,103,425.60
  5. Step 5: Solve for x
    x = 11,906,103,425.60/140,651.82
  6. Step 6: Final answer
    x = 84,649.48

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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.