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Finding the Fourth Proportional to 109,696.55, 164,224.05 and 99,190.73

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Solution

The fourth proportional to 109,696.55, 164,224.05 and 99,190.73 is: 148,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,696.55 : 164,224.05 = 99,190.73 : x
  2. Step 2: Convert to fraction form
    109,696.55/164,224.05 = 99,190.73/x
  3. Step 3: Cross multiply
    109,696.55x = 164,224.05 × 99,190.73
  4. Step 4: Simplify right side
    109,696.55x = 16,289,503,403.06
  5. Step 5: Solve for x
    x = 16,289,503,403.06/109,696.55
  6. Step 6: Final answer
    x = 148,496.04

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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.