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Finding the Fourth Proportional to 205,103.22, 283,042.50 and 113,222.58

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Solution

The fourth proportional to 205,103.22, 283,042.50 and 113,222.58 is: 156,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.22 : 283,042.50 = 113,222.58 : x
  2. Step 2: Convert to fraction form
    205,103.22/283,042.50 = 113,222.58/x
  3. Step 3: Cross multiply
    205,103.22x = 283,042.50 × 113,222.58
  4. Step 4: Simplify right side
    205,103.22x = 32,046,802,099.65
  5. Step 5: Solve for x
    x = 32,046,802,099.65/205,103.22
  6. Step 6: Final answer
    x = 156,247.19

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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.