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Finding the Fourth Proportional to 171,874.39, 257,825.46 and 65,309.44

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Solution

The fourth proportional to 171,874.39, 257,825.46 and 65,309.44 is: 97,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,874.39 : 257,825.46 = 65,309.44 : x
  2. Step 2: Convert to fraction form
    171,874.39/257,825.46 = 65,309.44/x
  3. Step 3: Cross multiply
    171,874.39x = 257,825.46 × 65,309.44
  4. Step 4: Simplify right side
    171,874.39x = 16,838,436,410.34
  5. Step 5: Solve for x
    x = 16,838,436,410.34/171,874.39
  6. Step 6: Final answer
    x = 97,969.43

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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.