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Finding the Fourth Proportional to 140,846.60, 211,267.86 and 34,231.34

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Solution

The fourth proportional to 140,846.60, 211,267.86 and 34,231.34 is: 51,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,846.60 : 211,267.86 = 34,231.34 : x
  2. Step 2: Convert to fraction form
    140,846.60/211,267.86 = 34,231.34/x
  3. Step 3: Cross multiply
    140,846.60x = 211,267.86 × 34,231.34
  4. Step 4: Simplify right side
    140,846.60x = 7,231,981,946.73
  5. Step 5: Solve for x
    x = 7,231,981,946.73/140,846.60
  6. Step 6: Final answer
    x = 51,346.51

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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.