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Finding the Fourth Proportional to 222,831, 334,261.08 and 98,172

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Solution

The fourth proportional to 222,831, 334,261.08 and 98,172 is: 147,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,831 : 334,261.08 = 98,172 : x
  2. Step 2: Convert to fraction form
    222,831/334,261.08 = 98,172/x
  3. Step 3: Cross multiply
    222,831x = 334,261.08 × 98,172
  4. Step 4: Simplify right side
    222,831x = 32,815,078,745.76
  5. Step 5: Solve for x
    x = 32,815,078,745.76/222,831
  6. Step 6: Final answer
    x = 147,264.42

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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.