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Finding the Fourth Proportional to 279,906.44, 420,022.26 and 117,788.56

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Solution

The fourth proportional to 279,906.44, 420,022.26 and 117,788.56 is: 176,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,906.44 : 420,022.26 = 117,788.56 : x
  2. Step 2: Convert to fraction form
    279,906.44/420,022.26 = 117,788.56/x
  3. Step 3: Cross multiply
    279,906.44x = 420,022.26 × 117,788.56
  4. Step 4: Simplify right side
    279,906.44x = 49,473,817,173.35
  5. Step 5: Solve for x
    x = 49,473,817,173.35/279,906.44
  6. Step 6: Final answer
    x = 176,751.26

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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.