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Finding the Fourth Proportional to 196,860.38, 271,667.32 and 107,436.38

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Solution

The fourth proportional to 196,860.38, 271,667.32 and 107,436.38 is: 148,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,860.38 : 271,667.32 = 107,436.38 : x
  2. Step 2: Convert to fraction form
    196,860.38/271,667.32 = 107,436.38/x
  3. Step 3: Cross multiply
    196,860.38x = 271,667.32 × 107,436.38
  4. Step 4: Simplify right side
    196,860.38x = 29,186,951,798.17
  5. Step 5: Solve for x
    x = 29,186,951,798.17/196,860.38
  6. Step 6: Final answer
    x = 148,262.20

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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.