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Finding the Fourth Proportional to 216,384.06, 298,604.50 and 120,891.48

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Solution

The fourth proportional to 216,384.06, 298,604.50 and 120,891.48 is: 166,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,384.06 : 298,604.50 = 120,891.48 : x
  2. Step 2: Convert to fraction form
    216,384.06/298,604.50 = 120,891.48/x
  3. Step 3: Cross multiply
    216,384.06x = 298,604.50 × 120,891.48
  4. Step 4: Simplify right side
    216,384.06x = 36,098,739,939.66
  5. Step 5: Solve for x
    x = 36,098,739,939.66/216,384.06
  6. Step 6: Final answer
    x = 166,827.17

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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.