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Finding the Fourth Proportional to 255,708.56, 383,694.24 and 196,119.84

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Solution

The fourth proportional to 255,708.56, 383,694.24 and 196,119.84 is: 294,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,708.56 : 383,694.24 = 196,119.84 : x
  2. Step 2: Convert to fraction form
    255,708.56/383,694.24 = 196,119.84/x
  3. Step 3: Cross multiply
    255,708.56x = 383,694.24 × 196,119.84
  4. Step 4: Simplify right side
    255,708.56x = 75,250,052,957.72
  5. Step 5: Solve for x
    x = 75,250,052,957.72/255,708.56
  6. Step 6: Final answer
    x = 294,280.54

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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.