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Finding the Fourth Proportional to 118,297.54, 177,245.82 and 71,452

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Solution

The fourth proportional to 118,297.54, 177,245.82 and 71,452 is: 107,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,297.54 : 177,245.82 = 71,452 : x
  2. Step 2: Convert to fraction form
    118,297.54/177,245.82 = 71,452/x
  3. Step 3: Cross multiply
    118,297.54x = 177,245.82 × 71,452
  4. Step 4: Simplify right side
    118,297.54x = 12,664,568,330.64
  5. Step 5: Solve for x
    x = 12,664,568,330.64/118,297.54
  6. Step 6: Final answer
    x = 107,056.90

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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.