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Finding the Fourth Proportional to 118,496.34, 177,744.69 and 47,450.97

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Solution

The fourth proportional to 118,496.34, 177,744.69 and 47,450.97 is: 71,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,496.34 : 177,744.69 = 47,450.97 : x
  2. Step 2: Convert to fraction form
    118,496.34/177,744.69 = 47,450.97/x
  3. Step 3: Cross multiply
    118,496.34x = 177,744.69 × 47,450.97
  4. Step 4: Simplify right side
    118,496.34x = 8,434,157,952.85
  5. Step 5: Solve for x
    x = 8,434,157,952.85/118,496.34
  6. Step 6: Final answer
    x = 71,176.53

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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.