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Finding the Fourth Proportional to 144,424.46, 199,324.32 and 80,765.84

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Solution

The fourth proportional to 144,424.46, 199,324.32 and 80,765.84 is: 111,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,424.46 : 199,324.32 = 80,765.84 : x
  2. Step 2: Convert to fraction form
    144,424.46/199,324.32 = 80,765.84/x
  3. Step 3: Cross multiply
    144,424.46x = 199,324.32 × 80,765.84
  4. Step 4: Simplify right side
    144,424.46x = 16,098,596,137.23
  5. Step 5: Solve for x
    x = 16,098,596,137.23/144,424.46
  6. Step 6: Final answer
    x = 111,467.24

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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.