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Finding the Fourth Proportional to 205,361.40, 283,247.10 and 129,837

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Solution

The fourth proportional to 205,361.40, 283,247.10 and 129,837 is: 179,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,361.40 : 283,247.10 = 129,837 : x
  2. Step 2: Convert to fraction form
    205,361.40/283,247.10 = 129,837/x
  3. Step 3: Cross multiply
    205,361.40x = 283,247.10 × 129,837
  4. Step 4: Simplify right side
    205,361.40x = 36,775,953,722.70
  5. Step 5: Solve for x
    x = 36,775,953,722.70/205,361.40
  6. Step 6: Final answer
    x = 179,079.19

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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.