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Finding the Fourth Proportional to 171,644.60, 257,469.30 and 53,308.46

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Solution

The fourth proportional to 171,644.60, 257,469.30 and 53,308.46 is: 79,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,644.60 : 257,469.30 = 53,308.46 : x
  2. Step 2: Convert to fraction form
    171,644.60/257,469.30 = 53,308.46/x
  3. Step 3: Cross multiply
    171,644.60x = 257,469.30 × 53,308.46
  4. Step 4: Simplify right side
    171,644.60x = 13,725,291,880.28
  5. Step 5: Solve for x
    x = 13,725,291,880.28/171,644.60
  6. Step 6: Final answer
    x = 79,963.44

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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.