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Finding the Fourth Proportional to 201,743.64, 302,576.50 and 61,516.44

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Solution

The fourth proportional to 201,743.64, 302,576.50 and 61,516.44 is: 92,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,743.64 : 302,576.50 = 61,516.44 : x
  2. Step 2: Convert to fraction form
    201,743.64/302,576.50 = 61,516.44/x
  3. Step 3: Cross multiply
    201,743.64x = 302,576.50 × 61,516.44
  4. Step 4: Simplify right side
    201,743.64x = 18,613,429,107.66
  5. Step 5: Solve for x
    x = 18,613,429,107.66/201,743.64
  6. Step 6: Final answer
    x = 92,262.78

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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.