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Finding the Fourth Proportional to 142,696.35, 196,918.79 and 78,165.07

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Solution

The fourth proportional to 142,696.35, 196,918.79 and 78,165.07 is: 107,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,696.35 : 196,918.79 = 78,165.07 : x
  2. Step 2: Convert to fraction form
    142,696.35/196,918.79 = 78,165.07/x
  3. Step 3: Cross multiply
    142,696.35x = 196,918.79 × 78,165.07
  4. Step 4: Simplify right side
    142,696.35x = 15,392,170,121.54
  5. Step 5: Solve for x
    x = 15,392,170,121.54/142,696.35
  6. Step 6: Final answer
    x = 107,866.60

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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.