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Finding the Fourth Proportional to 164,850.54, 247,268.97 and 76,074.54

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Solution

The fourth proportional to 164,850.54, 247,268.97 and 76,074.54 is: 114,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,850.54 : 247,268.97 = 76,074.54 : x
  2. Step 2: Convert to fraction form
    164,850.54/247,268.97 = 76,074.54/x
  3. Step 3: Cross multiply
    164,850.54x = 247,268.97 × 76,074.54
  4. Step 4: Simplify right side
    164,850.54x = 18,810,873,149.02
  5. Step 5: Solve for x
    x = 18,810,873,149.02/164,850.54
  6. Step 6: Final answer
    x = 114,108.65

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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.