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Finding the Fourth Proportional to 142,238.80, 196,286.72 and 78,576

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Solution

The fourth proportional to 142,238.80, 196,286.72 and 78,576 is: 108,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,238.80 : 196,286.72 = 78,576 : x
  2. Step 2: Convert to fraction form
    142,238.80/196,286.72 = 78,576/x
  3. Step 3: Cross multiply
    142,238.80x = 196,286.72 × 78,576
  4. Step 4: Simplify right side
    142,238.80x = 15,423,425,310.72
  5. Step 5: Solve for x
    x = 15,423,425,310.72/142,238.80
  6. Step 6: Final answer
    x = 108,433.32

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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.