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Finding the Fourth Proportional to 141,634.80, 195,457.32 and 77,974

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Solution

The fourth proportional to 141,634.80, 195,457.32 and 77,974 is: 107,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,634.80 : 195,457.32 = 77,974 : x
  2. Step 2: Convert to fraction form
    141,634.80/195,457.32 = 77,974/x
  3. Step 3: Cross multiply
    141,634.80x = 195,457.32 × 77,974
  4. Step 4: Simplify right side
    141,634.80x = 15,240,589,069.68
  5. Step 5: Solve for x
    x = 15,240,589,069.68/141,634.80
  6. Step 6: Final answer
    x = 107,604.83

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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.