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Finding the Fourth Proportional to 198,196.56, 273,549 and 117,668.24

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Solution

The fourth proportional to 198,196.56, 273,549 and 117,668.24 is: 162,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,196.56 : 273,549 = 117,668.24 : x
  2. Step 2: Convert to fraction form
    198,196.56/273,549 = 117,668.24/x
  3. Step 3: Cross multiply
    198,196.56x = 273,549 × 117,668.24
  4. Step 4: Simplify right side
    198,196.56x = 32,188,029,383.76
  5. Step 5: Solve for x
    x = 32,188,029,383.76/198,196.56
  6. Step 6: Final answer
    x = 162,404.58

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