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Finding the Fourth Proportional to 232,243.80, 347,847.30 and 190,771.80

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Solution

The fourth proportional to 232,243.80, 347,847.30 and 190,771.80 is: 285,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,243.80 : 347,847.30 = 190,771.80 : x
  2. Step 2: Convert to fraction form
    232,243.80/347,847.30 = 190,771.80/x
  3. Step 3: Cross multiply
    232,243.80x = 347,847.30 × 190,771.80
  4. Step 4: Simplify right side
    232,243.80x = 66,359,455,546.14
  5. Step 5: Solve for x
    x = 66,359,455,546.14/232,243.80
  6. Step 6: Final answer
    x = 285,731.87

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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.