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Finding the Fourth Proportional to 142,081.90, 196,072.63 and 78,419.26

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Solution

The fourth proportional to 142,081.90, 196,072.63 and 78,419.26 is: 108,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,081.90 : 196,072.63 = 78,419.26 : x
  2. Step 2: Convert to fraction form
    142,081.90/196,072.63 = 78,419.26/x
  3. Step 3: Cross multiply
    142,081.90x = 196,072.63 × 78,419.26
  4. Step 4: Simplify right side
    142,081.90x = 15,375,870,550.85
  5. Step 5: Solve for x
    x = 15,375,870,550.85/142,081.90
  6. Step 6: Final answer
    x = 108,218.36

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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.