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Finding the Fourth Proportional to 196,692, 271,436.40 and 107,268

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Solution

The fourth proportional to 196,692, 271,436.40 and 107,268 is: 148,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,692 : 271,436.40 = 107,268 : x
  2. Step 2: Convert to fraction form
    196,692/271,436.40 = 107,268/x
  3. Step 3: Cross multiply
    196,692x = 271,436.40 × 107,268
  4. Step 4: Simplify right side
    196,692x = 29,116,439,755.20
  5. Step 5: Solve for x
    x = 29,116,439,755.20/196,692
  6. Step 6: Final answer
    x = 148,030.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.