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Finding the Fourth Proportional to 196,546, 271,233.24 and 107,122

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Solution

The fourth proportional to 196,546, 271,233.24 and 107,122 is: 147,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,546 : 271,233.24 = 107,122 : x
  2. Step 2: Convert to fraction form
    196,546/271,233.24 = 107,122/x
  3. Step 3: Cross multiply
    196,546x = 271,233.24 × 107,122
  4. Step 4: Simplify right side
    196,546x = 29,055,047,135.28
  5. Step 5: Solve for x
    x = 29,055,047,135.28/196,546
  6. Step 6: Final answer
    x = 147,828.23

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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.