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Finding the Fourth Proportional to 206,046.40, 309,361.20 and 161,723.20

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Solution

The fourth proportional to 206,046.40, 309,361.20 and 161,723.20 is: 242,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,046.40 : 309,361.20 = 161,723.20 : x
  2. Step 2: Convert to fraction form
    206,046.40/309,361.20 = 161,723.20/x
  3. Step 3: Cross multiply
    206,046.40x = 309,361.20 × 161,723.20
  4. Step 4: Simplify right side
    206,046.40x = 50,030,883,219.84
  5. Step 5: Solve for x
    x = 50,030,883,219.84/206,046.40
  6. Step 6: Final answer
    x = 242,813.67

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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.