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Finding the Fourth Proportional to 148,216.17, 204,538.23 and 81,148.17

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Solution

The fourth proportional to 148,216.17, 204,538.23 and 81,148.17 is: 111,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,216.17 : 204,538.23 = 81,148.17 : x
  2. Step 2: Convert to fraction form
    148,216.17/204,538.23 = 81,148.17/x
  3. Step 3: Cross multiply
    148,216.17x = 204,538.23 × 81,148.17
  4. Step 4: Simplify right side
    148,216.17x = 16,597,903,059.54
  5. Step 5: Solve for x
    x = 16,597,903,059.54/148,216.17
  6. Step 6: Final answer
    x = 111,984.43

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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.