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Finding the Fourth Proportional to 142,576.54, 196,735.03 and 78,914.18

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Solution

The fourth proportional to 142,576.54, 196,735.03 and 78,914.18 is: 108,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576.54 : 196,735.03 = 78,914.18 : x
  2. Step 2: Convert to fraction form
    142,576.54/196,735.03 = 78,914.18/x
  3. Step 3: Cross multiply
    142,576.54x = 196,735.03 × 78,914.18
  4. Step 4: Simplify right side
    142,576.54x = 15,525,183,864.28
  5. Step 5: Solve for x
    x = 15,525,183,864.28/142,576.54
  6. Step 6: Final answer
    x = 108,890.17

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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.