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Finding the Fourth Proportional to 197,408.80, 295,675.80 and 162,416.80

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Solution

The fourth proportional to 197,408.80, 295,675.80 and 162,416.80 is: 243,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,408.80 : 295,675.80 = 162,416.80 : x
  2. Step 2: Convert to fraction form
    197,408.80/295,675.80 = 162,416.80/x
  3. Step 3: Cross multiply
    197,408.80x = 295,675.80 × 162,416.80
  4. Step 4: Simplify right side
    197,408.80x = 48,022,717,273.44
  5. Step 5: Solve for x
    x = 48,022,717,273.44/197,408.80
  6. Step 6: Final answer
    x = 243,265.33

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1.5x scale

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.