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Finding the Fourth Proportional to 142,107.78, 196,106.34 and 78,443.94

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Solution

The fourth proportional to 142,107.78, 196,106.34 and 78,443.94 is: 108,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,107.78 : 196,106.34 = 78,443.94 : x
  2. Step 2: Convert to fraction form
    142,107.78/196,106.34 = 78,443.94/x
  3. Step 3: Cross multiply
    142,107.78x = 196,106.34 × 78,443.94
  4. Step 4: Simplify right side
    142,107.78x = 15,383,353,968.58
  5. Step 5: Solve for x
    x = 15,383,353,968.58/142,107.78
  6. Step 6: Final answer
    x = 108,251.31

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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.