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Finding the Fourth Proportional to 196,294.20, 270,795.42 and 115,666.68

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Solution

The fourth proportional to 196,294.20, 270,795.42 and 115,666.68 is: 159,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,294.20 : 270,795.42 = 115,666.68 : x
  2. Step 2: Convert to fraction form
    196,294.20/270,795.42 = 115,666.68/x
  3. Step 3: Cross multiply
    196,294.20x = 270,795.42 × 115,666.68
  4. Step 4: Simplify right side
    196,294.20x = 31,322,007,190.61
  5. Step 5: Solve for x
    x = 31,322,007,190.61/196,294.20
  6. Step 6: Final answer
    x = 159,566.65

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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.