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Finding the Fourth Proportional to 106,982.32, 147,660.36 and 71,173.84

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Solution

The fourth proportional to 106,982.32, 147,660.36 and 71,173.84 is: 98,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,982.32 : 147,660.36 = 71,173.84 : x
  2. Step 2: Convert to fraction form
    106,982.32/147,660.36 = 71,173.84/x
  3. Step 3: Cross multiply
    106,982.32x = 147,660.36 × 71,173.84
  4. Step 4: Simplify right side
    106,982.32x = 10,509,554,836.98
  5. Step 5: Solve for x
    x = 10,509,554,836.98/106,982.32
  6. Step 6: Final answer
    x = 98,236.37

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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.