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Finding the Fourth Proportional to 100,204.63, 138,284.63 and 57,183.26

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Solution

The fourth proportional to 100,204.63, 138,284.63 and 57,183.26 is: 78,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.63 : 138,284.63 = 57,183.26 : x
  2. Step 2: Convert to fraction form
    100,204.63/138,284.63 = 57,183.26/x
  3. Step 3: Cross multiply
    100,204.63x = 138,284.63 × 57,183.26
  4. Step 4: Simplify right side
    100,204.63x = 7,907,566,011.09
  5. Step 5: Solve for x
    x = 7,907,566,011.09/100,204.63
  6. Step 6: Final answer
    x = 78,914.18

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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.