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Finding the Fourth Proportional to 141,596.56, 195,371.88 and 81,946

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Solution

The fourth proportional to 141,596.56, 195,371.88 and 81,946 is: 113,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,596.56 : 195,371.88 = 81,946 : x
  2. Step 2: Convert to fraction form
    141,596.56/195,371.88 = 81,946/x
  3. Step 3: Cross multiply
    141,596.56x = 195,371.88 × 81,946
  4. Step 4: Simplify right side
    141,596.56x = 16,009,944,078.48
  5. Step 5: Solve for x
    x = 16,009,944,078.48/141,596.56
  6. Step 6: Final answer
    x = 113,067.32

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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.