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Finding the Fourth Proportional to 142,563.94, 196,735.19 and 78,033.17

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Solution

The fourth proportional to 142,563.94, 196,735.19 and 78,033.17 is: 107,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,563.94 : 196,735.19 = 78,033.17 : x
  2. Step 2: Convert to fraction form
    142,563.94/196,735.19 = 78,033.17/x
  3. Step 3: Cross multiply
    142,563.94x = 196,735.19 × 78,033.17
  4. Step 4: Simplify right side
    142,563.94x = 15,351,870,627.92
  5. Step 5: Solve for x
    x = 15,351,870,627.92/142,563.94
  6. Step 6: Final answer
    x = 107,684.11

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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.