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Finding the Fourth Proportional to 142,542.96, 196,706.52 and 78,879.60

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Solution

The fourth proportional to 142,542.96, 196,706.52 and 78,879.60 is: 108,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,542.96 : 196,706.52 = 78,879.60 : x
  2. Step 2: Convert to fraction form
    142,542.96/196,706.52 = 78,879.60/x
  3. Step 3: Cross multiply
    142,542.96x = 196,706.52 × 78,879.60
  4. Step 4: Simplify right side
    142,542.96x = 15,516,131,614.99
  5. Step 5: Solve for x
    x = 15,516,131,614.99/142,542.96
  6. Step 6: Final answer
    x = 108,852.32

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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.