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Finding the Fourth Proportional to 201,697.02, 302,538.24 and 61,452

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Solution

The fourth proportional to 201,697.02, 302,538.24 and 61,452 is: 92,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.02 : 302,538.24 = 61,452 : x
  2. Step 2: Convert to fraction form
    201,697.02/302,538.24 = 61,452/x
  3. Step 3: Cross multiply
    201,697.02x = 302,538.24 × 61,452
  4. Step 4: Simplify right side
    201,697.02x = 18,591,579,924.48
  5. Step 5: Solve for x
    x = 18,591,579,924.48/201,697.02
  6. Step 6: Final answer
    x = 92,175.78

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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.