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Finding the Fourth Proportional to 195,794.07, 270,189.44 and 115,226

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Solution

The fourth proportional to 195,794.07, 270,189.44 and 115,226 is: 159,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,794.07 : 270,189.44 = 115,226 : x
  2. Step 2: Convert to fraction form
    195,794.07/270,189.44 = 115,226/x
  3. Step 3: Cross multiply
    195,794.07x = 270,189.44 × 115,226
  4. Step 4: Simplify right side
    195,794.07x = 31,132,848,701.51
  5. Step 5: Solve for x
    x = 31,132,848,701.51/195,794.07
  6. Step 6: Final answer
    x = 159,008.13

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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.