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Finding the Fourth Proportional to 198,401.77, 273,796.44 and 107,758.60

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Solution

The fourth proportional to 198,401.77, 273,796.44 and 107,758.60 is: 148,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,401.77 : 273,796.44 = 107,758.60 : x
  2. Step 2: Convert to fraction form
    198,401.77/273,796.44 = 107,758.60/x
  3. Step 3: Cross multiply
    198,401.77x = 273,796.44 × 107,758.60
  4. Step 4: Simplify right side
    198,401.77x = 29,503,921,059.38
  5. Step 5: Solve for x
    x = 29,503,921,059.38/198,401.77
  6. Step 6: Final answer
    x = 148,707.95

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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.