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Finding the Fourth Proportional to 197,183, 272,112.54 and 107,759

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Solution

The fourth proportional to 197,183, 272,112.54 and 107,759 is: 148,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,183 : 272,112.54 = 107,759 : x
  2. Step 2: Convert to fraction form
    197,183/272,112.54 = 107,759/x
  3. Step 3: Cross multiply
    197,183x = 272,112.54 × 107,759
  4. Step 4: Simplify right side
    197,183x = 29,322,575,197.86
  5. Step 5: Solve for x
    x = 29,322,575,197.86/197,183
  6. Step 6: Final answer
    x = 148,707.42

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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.