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Finding the Fourth Proportional to 149,694.84, 224,704.02 and 133,160.76

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Solution

The fourth proportional to 149,694.84, 224,704.02 and 133,160.76 is: 199,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,694.84 : 224,704.02 = 133,160.76 : x
  2. Step 2: Convert to fraction form
    149,694.84/224,704.02 = 133,160.76/x
  3. Step 3: Cross multiply
    149,694.84x = 224,704.02 × 133,160.76
  4. Step 4: Simplify right side
    149,694.84x = 29,921,758,078.26
  5. Step 5: Solve for x
    x = 29,921,758,078.26/149,694.84
  6. Step 6: Final answer
    x = 199,885.03

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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.