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Finding the Fourth Proportional to 164,096, 226,452.48 and 88,644.50

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Solution

The fourth proportional to 164,096, 226,452.48 and 88,644.50 is: 122,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096 : 226,452.48 = 88,644.50 : x
  2. Step 2: Convert to fraction form
    164,096/226,452.48 = 88,644.50/x
  3. Step 3: Cross multiply
    164,096x = 226,452.48 × 88,644.50
  4. Step 4: Simplify right side
    164,096x = 20,073,766,863.36
  5. Step 5: Solve for x
    x = 20,073,766,863.36/164,096
  6. Step 6: Final answer
    x = 122,329.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.