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Finding the Fourth Proportional to 165,848, 248,770.62 and 47,519.44

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Solution

The fourth proportional to 165,848, 248,770.62 and 47,519.44 is: 71,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,848 : 248,770.62 = 47,519.44 : x
  2. Step 2: Convert to fraction form
    165,848/248,770.62 = 47,519.44/x
  3. Step 3: Cross multiply
    165,848x = 248,770.62 × 47,519.44
  4. Step 4: Simplify right side
    165,848x = 11,821,440,550.85
  5. Step 5: Solve for x
    x = 11,821,440,550.85/165,848
  6. Step 6: Final answer
    x = 71,278.76

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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.