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Finding the Fourth Proportional to 194,971.38, 269,125.92 and 138,284.34

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Solution

The fourth proportional to 194,971.38, 269,125.92 and 138,284.34 is: 190,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,971.38 : 269,125.92 = 138,284.34 : x
  2. Step 2: Convert to fraction form
    194,971.38/269,125.92 = 138,284.34/x
  3. Step 3: Cross multiply
    194,971.38x = 269,125.92 × 138,284.34
  4. Step 4: Simplify right side
    194,971.38x = 37,215,900,224.09
  5. Step 5: Solve for x
    x = 37,215,900,224.09/194,971.38
  6. Step 6: Final answer
    x = 190,878.79

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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.