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Finding the Fourth Proportional to 201,647.02, 302,447.49 and 53,914.54

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Solution

The fourth proportional to 201,647.02, 302,447.49 and 53,914.54 is: 80,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,647.02 : 302,447.49 = 53,914.54 : x
  2. Step 2: Convert to fraction form
    201,647.02/302,447.49 = 53,914.54/x
  3. Step 3: Cross multiply
    201,647.02x = 302,447.49 × 53,914.54
  4. Step 4: Simplify right side
    201,647.02x = 16,306,317,297.50
  5. Step 5: Solve for x
    x = 16,306,317,297.50/201,647.02
  6. Step 6: Final answer
    x = 80,865.65

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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.