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Finding the Fourth Proportional to 216,166.44, 298,304.73 and 120,682.02

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Solution

The fourth proportional to 216,166.44, 298,304.73 and 120,682.02 is: 166,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,166.44 : 298,304.73 = 120,682.02 : x
  2. Step 2: Convert to fraction form
    216,166.44/298,304.73 = 120,682.02/x
  3. Step 3: Cross multiply
    216,166.44x = 298,304.73 × 120,682.02
  4. Step 4: Simplify right side
    216,166.44x = 36,000,017,391.95
  5. Step 5: Solve for x
    x = 36,000,017,391.95/216,166.44
  6. Step 6: Final answer
    x = 166,538.42

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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.