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Finding the Fourth Proportional to 201,961.40, 302,942.10 and 75,601.40

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Solution

The fourth proportional to 201,961.40, 302,942.10 and 75,601.40 is: 113,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,961.40 : 302,942.10 = 75,601.40 : x
  2. Step 2: Convert to fraction form
    201,961.40/302,942.10 = 75,601.40/x
  3. Step 3: Cross multiply
    201,961.40x = 302,942.10 × 75,601.40
  4. Step 4: Simplify right side
    201,961.40x = 22,902,846,878.94
  5. Step 5: Solve for x
    x = 22,902,846,878.94/201,961.40
  6. Step 6: Final answer
    x = 113,402.10

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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.