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Finding the Fourth Proportional to 197,066.55, 271,952.10 and 112,183.50

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Solution

The fourth proportional to 197,066.55, 271,952.10 and 112,183.50 is: 154,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,066.55 : 271,952.10 = 112,183.50 : x
  2. Step 2: Convert to fraction form
    197,066.55/271,952.10 = 112,183.50/x
  3. Step 3: Cross multiply
    197,066.55x = 271,952.10 × 112,183.50
  4. Step 4: Simplify right side
    197,066.55x = 30,508,538,410.35
  5. Step 5: Solve for x
    x = 30,508,538,410.35/197,066.55
  6. Step 6: Final answer
    x = 154,813.38

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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.