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Finding the Fourth Proportional to 109,076.16, 163,596.02 and 30,198.36

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Solution

The fourth proportional to 109,076.16, 163,596.02 and 30,198.36 is: 45,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076.16 : 163,596.02 = 30,198.36 : x
  2. Step 2: Convert to fraction form
    109,076.16/163,596.02 = 30,198.36/x
  3. Step 3: Cross multiply
    109,076.16x = 163,596.02 × 30,198.36
  4. Step 4: Simplify right side
    109,076.16x = 4,940,331,355.54
  5. Step 5: Solve for x
    x = 4,940,331,355.54/109,076.16
  6. Step 6: Final answer
    x = 45,292.49

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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.