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Finding the Fourth Proportional to 196,551.56, 271,241.40 and 107,127.56

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Solution

The fourth proportional to 196,551.56, 271,241.40 and 107,127.56 is: 147,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,551.56 : 271,241.40 = 107,127.56 : x
  2. Step 2: Convert to fraction form
    196,551.56/271,241.40 = 107,127.56/x
  3. Step 3: Cross multiply
    196,551.56x = 271,241.40 × 107,127.56
  4. Step 4: Simplify right side
    196,551.56x = 29,057,429,352.98
  5. Step 5: Solve for x
    x = 29,057,429,352.98/196,551.56
  6. Step 6: Final answer
    x = 147,836.17

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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.