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Finding the Fourth Proportional to 299,301.89, 449,034.84 and 149,361.17

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Solution

The fourth proportional to 299,301.89, 449,034.84 and 149,361.17 is: 224,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.89 : 449,034.84 = 149,361.17 : x
  2. Step 2: Convert to fraction form
    299,301.89/449,034.84 = 149,361.17/x
  3. Step 3: Cross multiply
    299,301.89x = 449,034.84 × 149,361.17
  4. Step 4: Simplify right side
    299,301.89x = 67,068,366,827.99
  5. Step 5: Solve for x
    x = 67,068,366,827.99/299,301.89
  6. Step 6: Final answer
    x = 224,082.67

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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.