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Finding the Fourth Proportional to 146,163.96, 201,712.02 and 82,503.96

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Solution

The fourth proportional to 146,163.96, 201,712.02 and 82,503.96 is: 113,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,163.96 : 201,712.02 = 82,503.96 : x
  2. Step 2: Convert to fraction form
    146,163.96/201,712.02 = 82,503.96/x
  3. Step 3: Cross multiply
    146,163.96x = 201,712.02 × 82,503.96
  4. Step 4: Simplify right side
    146,163.96x = 16,642,040,429.60
  5. Step 5: Solve for x
    x = 16,642,040,429.60/146,163.96
  6. Step 6: Final answer
    x = 113,858.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.