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Finding the Fourth Proportional to 232,114.20, 347,912.10 and 132,322.20

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Solution

The fourth proportional to 232,114.20, 347,912.10 and 132,322.20 is: 198,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,114.20 : 347,912.10 = 132,322.20 : x
  2. Step 2: Convert to fraction form
    232,114.20/347,912.10 = 132,322.20/x
  3. Step 3: Cross multiply
    232,114.20x = 347,912.10 × 132,322.20
  4. Step 4: Simplify right side
    232,114.20x = 46,036,494,478.62
  5. Step 5: Solve for x
    x = 46,036,494,478.62/232,114.20
  6. Step 6: Final answer
    x = 198,335.54

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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.