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Finding the Fourth Proportional to 222,675.20, 333,721.20 and 197,597.60

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Solution

The fourth proportional to 222,675.20, 333,721.20 and 197,597.60 is: 296,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,675.20 : 333,721.20 = 197,597.60 : x
  2. Step 2: Convert to fraction form
    222,675.20/333,721.20 = 197,597.60/x
  3. Step 3: Cross multiply
    222,675.20x = 333,721.20 × 197,597.60
  4. Step 4: Simplify right side
    222,675.20x = 65,942,508,189.12
  5. Step 5: Solve for x
    x = 65,942,508,189.12/222,675.20
  6. Step 6: Final answer
    x = 296,137.64

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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.