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Finding the Fourth Proportional to 196,214.39, 270,827.64 and 115,695.56

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Solution

The fourth proportional to 196,214.39, 270,827.64 and 115,695.56 is: 159,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,214.39 : 270,827.64 = 115,695.56 : x
  2. Step 2: Convert to fraction form
    196,214.39/270,827.64 = 115,695.56/x
  3. Step 3: Cross multiply
    196,214.39x = 270,827.64 × 115,695.56
  4. Step 4: Simplify right side
    196,214.39x = 31,333,555,473.28
  5. Step 5: Solve for x
    x = 31,333,555,473.28/196,214.39
  6. Step 6: Final answer
    x = 159,690.41

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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.