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Finding the Fourth Proportional to 216,384.56, 298,605.20 and 120,891.98

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Solution

The fourth proportional to 216,384.56, 298,605.20 and 120,891.98 is: 166,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,384.56 : 298,605.20 = 120,891.98 : x
  2. Step 2: Convert to fraction form
    216,384.56/298,605.20 = 120,891.98/x
  3. Step 3: Cross multiply
    216,384.56x = 298,605.20 × 120,891.98
  4. Step 4: Simplify right side
    216,384.56x = 36,098,971,768.81
  5. Step 5: Solve for x
    x = 36,098,971,768.81/216,384.56
  6. Step 6: Final answer
    x = 166,827.85

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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.