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Finding the Fourth Proportional to 196,015.52, 270,387.24 and 142,238

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Solution

The fourth proportional to 196,015.52, 270,387.24 and 142,238 is: 196,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,015.52 : 270,387.24 = 142,238 : x
  2. Step 2: Convert to fraction form
    196,015.52/270,387.24 = 142,238/x
  3. Step 3: Cross multiply
    196,015.52x = 270,387.24 × 142,238
  4. Step 4: Simplify right side
    196,015.52x = 38,459,340,243.12
  5. Step 5: Solve for x
    x = 38,459,340,243.12/196,015.52
  6. Step 6: Final answer
    x = 196,205.59

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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.