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Finding the Fourth Proportional to 171,461.27, 257,098.06 and 136,149.41

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Solution

The fourth proportional to 171,461.27, 257,098.06 and 136,149.41 is: 204,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,461.27 : 257,098.06 = 136,149.41 : x
  2. Step 2: Convert to fraction form
    171,461.27/257,098.06 = 136,149.41/x
  3. Step 3: Cross multiply
    171,461.27x = 257,098.06 × 136,149.41
  4. Step 4: Simplify right side
    171,461.27x = 35,003,749,181.14
  5. Step 5: Solve for x
    x = 35,003,749,181.14/171,461.27
  6. Step 6: Final answer
    x = 204,149.60

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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.