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Finding the Fourth Proportional to 142,204.94, 196,243.83 and 78,542.74

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Solution

The fourth proportional to 142,204.94, 196,243.83 and 78,542.74 is: 108,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,204.94 : 196,243.83 = 78,542.74 : x
  2. Step 2: Convert to fraction form
    142,204.94/196,243.83 = 78,542.74/x
  3. Step 3: Cross multiply
    142,204.94x = 196,243.83 × 78,542.74
  4. Step 4: Simplify right side
    142,204.94x = 15,413,527,920.22
  5. Step 5: Solve for x
    x = 15,413,527,920.22/142,204.94
  6. Step 6: Final answer
    x = 108,389.54

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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.