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Finding the Fourth Proportional to 196,434, 271,078.92 and 107,010

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Solution

The fourth proportional to 196,434, 271,078.92 and 107,010 is: 147,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,434 : 271,078.92 = 107,010 : x
  2. Step 2: Convert to fraction form
    196,434/271,078.92 = 107,010/x
  3. Step 3: Cross multiply
    196,434x = 271,078.92 × 107,010
  4. Step 4: Simplify right side
    196,434x = 29,008,155,229.20
  5. Step 5: Solve for x
    x = 29,008,155,229.20/196,434
  6. Step 6: Final answer
    x = 147,673.80

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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.