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Finding the Fourth Proportional to 243,002, 335,375.16 and 142,400

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Solution

The fourth proportional to 243,002, 335,375.16 and 142,400 is: 196,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,002 : 335,375.16 = 142,400 : x
  2. Step 2: Convert to fraction form
    243,002/335,375.16 = 142,400/x
  3. Step 3: Cross multiply
    243,002x = 335,375.16 × 142,400
  4. Step 4: Simplify right side
    243,002x = 47,757,422,784
  5. Step 5: Solve for x
    x = 47,757,422,784/243,002
  6. Step 6: Final answer
    x = 196,530.99

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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.