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Finding the Fourth Proportional to 142,238.25, 196,269.35 and 78,572.25

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Solution

The fourth proportional to 142,238.25, 196,269.35 and 78,572.25 is: 108,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,238.25 : 196,269.35 = 78,572.25 : x
  2. Step 2: Convert to fraction form
    142,238.25/196,269.35 = 78,572.25/x
  3. Step 3: Cross multiply
    142,238.25x = 196,269.35 × 78,572.25
  4. Step 4: Simplify right side
    142,238.25x = 15,421,324,042.68
  5. Step 5: Solve for x
    x = 15,421,324,042.68/142,238.25
  6. Step 6: Final answer
    x = 108,418.97

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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.