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Finding the Fourth Proportional to 201,942.48, 302,968.26 and 61,697.28

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Solution

The fourth proportional to 201,942.48, 302,968.26 and 61,697.28 is: 92,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942.48 : 302,968.26 = 61,697.28 : x
  2. Step 2: Convert to fraction form
    201,942.48/302,968.26 = 61,697.28/x
  3. Step 3: Cross multiply
    201,942.48x = 302,968.26 × 61,697.28
  4. Step 4: Simplify right side
    201,942.48x = 18,692,317,568.33
  5. Step 5: Solve for x
    x = 18,692,317,568.33/201,942.48
  6. Step 6: Final answer
    x = 92,562.58

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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.