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Finding the Fourth Proportional to 196,426, 271,067.88 and 107,002

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Solution

The fourth proportional to 196,426, 271,067.88 and 107,002 is: 147,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,426 : 271,067.88 = 107,002 : x
  2. Step 2: Convert to fraction form
    196,426/271,067.88 = 107,002/x
  3. Step 3: Cross multiply
    196,426x = 271,067.88 × 107,002
  4. Step 4: Simplify right side
    196,426x = 29,004,805,295.76
  5. Step 5: Solve for x
    x = 29,004,805,295.76/196,426
  6. Step 6: Final answer
    x = 147,662.76

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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.