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Finding the Fourth Proportional to 201,701.02, 302,544.24 and 61,456

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Solution

The fourth proportional to 201,701.02, 302,544.24 and 61,456 is: 92,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701.02 : 302,544.24 = 61,456 : x
  2. Step 2: Convert to fraction form
    201,701.02/302,544.24 = 61,456/x
  3. Step 3: Cross multiply
    201,701.02x = 302,544.24 × 61,456
  4. Step 4: Simplify right side
    201,701.02x = 18,593,158,813.44
  5. Step 5: Solve for x
    x = 18,593,158,813.44/201,701.02
  6. Step 6: Final answer
    x = 92,181.78

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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.