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Finding the Fourth Proportional to 171,107.74, 256,697.76 and 64,489.44

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Solution

The fourth proportional to 171,107.74, 256,697.76 and 64,489.44 is: 96,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,107.74 : 256,697.76 = 64,489.44 : x
  2. Step 2: Convert to fraction form
    171,107.74/256,697.76 = 64,489.44/x
  3. Step 3: Cross multiply
    171,107.74x = 256,697.76 × 64,489.44
  4. Step 4: Simplify right side
    171,107.74x = 16,554,294,911.39
  5. Step 5: Solve for x
    x = 16,554,294,911.39/171,107.74
  6. Step 6: Final answer
    x = 96,747.78

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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.