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Finding the Fourth Proportional to 234,950.21, 351,793.89 and 149,096.24

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Solution

The fourth proportional to 234,950.21, 351,793.89 and 149,096.24 is: 223,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,950.21 : 351,793.89 = 149,096.24 : x
  2. Step 2: Convert to fraction form
    234,950.21/351,793.89 = 149,096.24/x
  3. Step 3: Cross multiply
    234,950.21x = 351,793.89 × 149,096.24
  4. Step 4: Simplify right side
    234,950.21x = 52,451,145,671.71
  5. Step 5: Solve for x
    x = 52,451,145,671.71/234,950.21
  6. Step 6: Final answer
    x = 223,243.67

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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.