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Finding the Fourth Proportional to 201,912.66, 302,676.12 and 75,518.64

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Solution

The fourth proportional to 201,912.66, 302,676.12 and 75,518.64 is: 113,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912.66 : 302,676.12 = 75,518.64 : x
  2. Step 2: Convert to fraction form
    201,912.66/302,676.12 = 75,518.64/x
  3. Step 3: Cross multiply
    201,912.66x = 302,676.12 × 75,518.64
  4. Step 4: Simplify right side
    201,912.66x = 22,857,688,942.88
  5. Step 5: Solve for x
    x = 22,857,688,942.88/201,912.66
  6. Step 6: Final answer
    x = 113,205.82

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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.