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Finding the Fourth Proportional to 214,095.39, 295,452.77 and 120,961.54

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Solution

The fourth proportional to 214,095.39, 295,452.77 and 120,961.54 is: 166,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,095.39 : 295,452.77 = 120,961.54 : x
  2. Step 2: Convert to fraction form
    214,095.39/295,452.77 = 120,961.54/x
  3. Step 3: Cross multiply
    214,095.39x = 295,452.77 × 120,961.54
  4. Step 4: Simplify right side
    214,095.39x = 35,738,422,274.58
  5. Step 5: Solve for x
    x = 35,738,422,274.58/214,095.39
  6. Step 6: Final answer
    x = 166,927.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.