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Finding the Fourth Proportional to 110,894.82, 166,231.38 and 39,798.14

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Solution

The fourth proportional to 110,894.82, 166,231.38 and 39,798.14 is: 59,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,894.82 : 166,231.38 = 39,798.14 : x
  2. Step 2: Convert to fraction form
    110,894.82/166,231.38 = 39,798.14/x
  3. Step 3: Cross multiply
    110,894.82x = 166,231.38 × 39,798.14
  4. Step 4: Simplify right side
    110,894.82x = 6,615,699,733.63
  5. Step 5: Solve for x
    x = 6,615,699,733.63/110,894.82
  6. Step 6: Final answer
    x = 59,657.43

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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.