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Finding the Fourth Proportional to 142,105.64, 196,105.91 and 78,443.37

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Solution

The fourth proportional to 142,105.64, 196,105.91 and 78,443.37 is: 108,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.64 : 196,105.91 = 78,443.37 : x
  2. Step 2: Convert to fraction form
    142,105.64/196,105.91 = 78,443.37/x
  3. Step 3: Cross multiply
    142,105.64x = 196,105.91 × 78,443.37
  4. Step 4: Simplify right side
    142,105.64x = 15,383,208,065.10
  5. Step 5: Solve for x
    x = 15,383,208,065.10/142,105.64
  6. Step 6: Final answer
    x = 108,251.92

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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.