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Finding the Fourth Proportional to 144,231.84, 199,044 and 80,576.64

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Solution

The fourth proportional to 144,231.84, 199,044 and 80,576.64 is: 111,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,231.84 : 199,044 = 80,576.64 : x
  2. Step 2: Convert to fraction form
    144,231.84/199,044 = 80,576.64/x
  3. Step 3: Cross multiply
    144,231.84x = 199,044 × 80,576.64
  4. Step 4: Simplify right side
    144,231.84x = 16,038,296,732.16
  5. Step 5: Solve for x
    x = 16,038,296,732.16/144,231.84
  6. Step 6: Final answer
    x = 111,198.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.