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Finding the Fourth Proportional to 197,016.36, 271,815.12 and 112,112.16

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Solution

The fourth proportional to 197,016.36, 271,815.12 and 112,112.16 is: 154,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,016.36 : 271,815.12 = 112,112.16 : x
  2. Step 2: Convert to fraction form
    197,016.36/271,815.12 = 112,112.16/x
  3. Step 3: Cross multiply
    197,016.36x = 271,815.12 × 112,112.16
  4. Step 4: Simplify right side
    197,016.36x = 30,473,780,223.86
  5. Step 5: Solve for x
    x = 30,473,780,223.86/197,016.36
  6. Step 6: Final answer
    x = 154,676.39

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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.