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Finding the Fourth Proportional to 235,996.25, 353,863.15 and 78,138.59

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Solution

The fourth proportional to 235,996.25, 353,863.15 and 78,138.59 is: 117,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,996.25 : 353,863.15 = 78,138.59 : x
  2. Step 2: Convert to fraction form
    235,996.25/353,863.15 = 78,138.59/x
  3. Step 3: Cross multiply
    235,996.25x = 353,863.15 × 78,138.59
  4. Step 4: Simplify right side
    235,996.25x = 27,650,365,629.30
  5. Step 5: Solve for x
    x = 27,650,365,629.30/235,996.25
  6. Step 6: Final answer
    x = 117,164.43

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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.