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Finding the Fourth Proportional to 197,638.44, 272,740.70 and 106,994.38

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Solution

The fourth proportional to 197,638.44, 272,740.70 and 106,994.38 is: 147,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,638.44 : 272,740.70 = 106,994.38 : x
  2. Step 2: Convert to fraction form
    197,638.44/272,740.70 = 106,994.38/x
  3. Step 3: Cross multiply
    197,638.44x = 272,740.70 × 106,994.38
  4. Step 4: Simplify right side
    197,638.44x = 29,181,722,097.27
  5. Step 5: Solve for x
    x = 29,181,722,097.27/197,638.44
  6. Step 6: Final answer
    x = 147,652.06

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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.