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Finding the Fourth Proportional to 205,360.40, 283,245.72 and 129,836

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Solution

The fourth proportional to 205,360.40, 283,245.72 and 129,836 is: 179,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,360.40 : 283,245.72 = 129,836 : x
  2. Step 2: Convert to fraction form
    205,360.40/283,245.72 = 129,836/x
  3. Step 3: Cross multiply
    205,360.40x = 283,245.72 × 129,836
  4. Step 4: Simplify right side
    205,360.40x = 36,775,491,301.92
  5. Step 5: Solve for x
    x = 36,775,491,301.92/205,360.40
  6. Step 6: Final answer
    x = 179,077.81

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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.