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Finding the Fourth Proportional to 216,192.30, 298,344.60 and 120,698.16

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Solution

The fourth proportional to 216,192.30, 298,344.60 and 120,698.16 is: 166,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,192.30 : 298,344.60 = 120,698.16 : x
  2. Step 2: Convert to fraction form
    216,192.30/298,344.60 = 120,698.16/x
  3. Step 3: Cross multiply
    216,192.30x = 298,344.60 × 120,698.16
  4. Step 4: Simplify right side
    216,192.30x = 36,009,644,265.94
  5. Step 5: Solve for x
    x = 36,009,644,265.94/216,192.30
  6. Step 6: Final answer
    x = 166,563.03

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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.