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Finding the Fourth Proportional to 197,231.70, 295,847.55 and 186,345.30

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Solution

The fourth proportional to 197,231.70, 295,847.55 and 186,345.30 is: 279,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,231.70 : 295,847.55 = 186,345.30 : x
  2. Step 2: Convert to fraction form
    197,231.70/295,847.55 = 186,345.30/x
  3. Step 3: Cross multiply
    197,231.70x = 295,847.55 × 186,345.30
  4. Step 4: Simplify right side
    197,231.70x = 55,129,800,459.02
  5. Step 5: Solve for x
    x = 55,129,800,459.02/197,231.70
  6. Step 6: Final answer
    x = 279,517.95

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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.