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Finding the Fourth Proportional to 201,843.45, 302,772.12 and 106,945.29

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Solution

The fourth proportional to 201,843.45, 302,772.12 and 106,945.29 is: 160,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,843.45 : 302,772.12 = 106,945.29 : x
  2. Step 2: Convert to fraction form
    201,843.45/302,772.12 = 106,945.29/x
  3. Step 3: Cross multiply
    201,843.45x = 302,772.12 × 106,945.29
  4. Step 4: Simplify right side
    201,843.45x = 32,380,052,177.31
  5. Step 5: Solve for x
    x = 32,380,052,177.31/201,843.45
  6. Step 6: Final answer
    x = 160,421.61

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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.