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Finding the Fourth Proportional to 201,212.60, 301,709.55 and 68,024.30

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Solution

The fourth proportional to 201,212.60, 301,709.55 and 68,024.30 is: 101,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.60 : 301,709.55 = 68,024.30 : x
  2. Step 2: Convert to fraction form
    201,212.60/301,709.55 = 68,024.30/x
  3. Step 3: Cross multiply
    201,212.60x = 301,709.55 × 68,024.30
  4. Step 4: Simplify right side
    201,212.60x = 20,523,580,942.07
  5. Step 5: Solve for x
    x = 20,523,580,942.07/201,212.60
  6. Step 6: Final answer
    x = 101,999.48

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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.