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Finding the Fourth Proportional to 68,197.66, 102,296.49 and 20,812.99

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Solution

The fourth proportional to 68,197.66, 102,296.49 and 20,812.99 is: 31,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,197.66 : 102,296.49 = 20,812.99 : x
  2. Step 2: Convert to fraction form
    68,197.66/102,296.49 = 20,812.99/x
  3. Step 3: Cross multiply
    68,197.66x = 102,296.49 × 20,812.99
  4. Step 4: Simplify right side
    68,197.66x = 2,129,095,719.34
  5. Step 5: Solve for x
    x = 2,129,095,719.34/68,197.66
  6. Step 6: Final answer
    x = 31,219.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.