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Finding the Fourth Proportional to 197,558.80, 296,467.80 and 113,318.80

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Solution

The fourth proportional to 197,558.80, 296,467.80 and 113,318.80 is: 170,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,558.80 : 296,467.80 = 113,318.80 : x
  2. Step 2: Convert to fraction form
    197,558.80/296,467.80 = 113,318.80/x
  3. Step 3: Cross multiply
    197,558.80x = 296,467.80 × 113,318.80
  4. Step 4: Simplify right side
    197,558.80x = 33,595,375,334.64
  5. Step 5: Solve for x
    x = 33,595,375,334.64/197,558.80
  6. Step 6: Final answer
    x = 170,052.54

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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.