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Finding the Fourth Proportional to 142,378.20, 196,486.01 and 78,720.09

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Solution

The fourth proportional to 142,378.20, 196,486.01 and 78,720.09 is: 108,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,378.20 : 196,486.01 = 78,720.09 : x
  2. Step 2: Convert to fraction form
    142,378.20/196,486.01 = 78,720.09/x
  3. Step 3: Cross multiply
    142,378.20x = 196,486.01 × 78,720.09
  4. Step 4: Simplify right side
    142,378.20x = 15,467,396,390.94
  5. Step 5: Solve for x
    x = 15,467,396,390.94/142,378.20
  6. Step 6: Final answer
    x = 108,635.99

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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.