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Finding the Fourth Proportional to 142,105.46, 196,101.81 and 78,441.89

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Solution

The fourth proportional to 142,105.46, 196,101.81 and 78,441.89 is: 108,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.46 : 196,101.81 = 78,441.89 : x
  2. Step 2: Convert to fraction form
    142,105.46/196,101.81 = 78,441.89/x
  3. Step 3: Cross multiply
    142,105.46x = 196,101.81 × 78,441.89
  4. Step 4: Simplify right side
    142,105.46x = 15,382,595,628.31
  5. Step 5: Solve for x
    x = 15,382,595,628.31/142,105.46
  6. Step 6: Final answer
    x = 108,247.75

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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.