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Finding the Fourth Proportional to 185,736.54, 278,447.42 and 73,495.95

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Solution

The fourth proportional to 185,736.54, 278,447.42 and 73,495.95 is: 110,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,736.54 : 278,447.42 = 73,495.95 : x
  2. Step 2: Convert to fraction form
    185,736.54/278,447.42 = 73,495.95/x
  3. Step 3: Cross multiply
    185,736.54x = 278,447.42 × 73,495.95
  4. Step 4: Simplify right side
    185,736.54x = 20,464,757,290.47
  5. Step 5: Solve for x
    x = 20,464,757,290.47/185,736.54
  6. Step 6: Final answer
    x = 110,181.64

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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.