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Finding the Fourth Proportional to 201,213.10, 301,710.30 and 68,024.80

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Solution

The fourth proportional to 201,213.10, 301,710.30 and 68,024.80 is: 102,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.10 : 301,710.30 = 68,024.80 : x
  2. Step 2: Convert to fraction form
    201,213.10/301,710.30 = 68,024.80/x
  3. Step 3: Cross multiply
    201,213.10x = 301,710.30 × 68,024.80
  4. Step 4: Simplify right side
    201,213.10x = 20,523,782,815.44
  5. Step 5: Solve for x
    x = 20,523,782,815.44/201,213.10
  6. Step 6: Final answer
    x = 102,000.23

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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.