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Finding the Fourth Proportional to 201,163.40, 301,745.10 and 82,795.40

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Solution

The fourth proportional to 201,163.40, 301,745.10 and 82,795.40 is: 124,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.40 : 301,745.10 = 82,795.40 : x
  2. Step 2: Convert to fraction form
    201,163.40/301,745.10 = 82,795.40/x
  3. Step 3: Cross multiply
    201,163.40x = 301,745.10 × 82,795.40
  4. Step 4: Simplify right side
    201,163.40x = 24,983,106,252.54
  5. Step 5: Solve for x
    x = 24,983,106,252.54/201,163.40
  6. Step 6: Final answer
    x = 124,193.10

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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.