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Finding the Fourth Proportional to 216,085.44, 298,197.36 and 120,591.12

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Solution

The fourth proportional to 216,085.44, 298,197.36 and 120,591.12 is: 166,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,085.44 : 298,197.36 = 120,591.12 : x
  2. Step 2: Convert to fraction form
    216,085.44/298,197.36 = 120,591.12/x
  3. Step 3: Cross multiply
    216,085.44x = 298,197.36 × 120,591.12
  4. Step 4: Simplify right side
    216,085.44x = 35,959,953,623.44
  5. Step 5: Solve for x
    x = 35,959,953,623.44/216,085.44
  6. Step 6: Final answer
    x = 166,415.44

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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.