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Finding the Fourth Proportional to 308,965.40, 463,620.90 and 131,442.20

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Solution

The fourth proportional to 308,965.40, 463,620.90 and 131,442.20 is: 197,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,965.40 : 463,620.90 = 131,442.20 : x
  2. Step 2: Convert to fraction form
    308,965.40/463,620.90 = 131,442.20/x
  3. Step 3: Cross multiply
    308,965.40x = 463,620.90 × 131,442.20
  4. Step 4: Simplify right side
    308,965.40x = 60,939,351,061.98
  5. Step 5: Solve for x
    x = 60,939,351,061.98/308,965.40
  6. Step 6: Final answer
    x = 197,236.81

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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.