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Finding the Fourth Proportional to 144,704.62, 217,190.14 and 73,678.02

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Solution

The fourth proportional to 144,704.62, 217,190.14 and 73,678.02 is: 110,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,704.62 : 217,190.14 = 73,678.02 : x
  2. Step 2: Convert to fraction form
    144,704.62/217,190.14 = 73,678.02/x
  3. Step 3: Cross multiply
    144,704.62x = 217,190.14 × 73,678.02
  4. Step 4: Simplify right side
    144,704.62x = 16,002,139,478.72
  5. Step 5: Solve for x
    x = 16,002,139,478.72/144,704.62
  6. Step 6: Final answer
    x = 110,584.86

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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.