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Finding the Fourth Proportional to 201,059.82, 301,474.44 and 82,633.50

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Solution

The fourth proportional to 201,059.82, 301,474.44 and 82,633.50 is: 123,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,059.82 : 301,474.44 = 82,633.50 : x
  2. Step 2: Convert to fraction form
    201,059.82/301,474.44 = 82,633.50/x
  3. Step 3: Cross multiply
    201,059.82x = 301,474.44 × 82,633.50
  4. Step 4: Simplify right side
    201,059.82x = 24,911,888,137.74
  5. Step 5: Solve for x
    x = 24,911,888,137.74/201,059.82
  6. Step 6: Final answer
    x = 123,902.87

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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.