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Finding the Fourth Proportional to 100,388.25, 138,537.41 and 55,676.25

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Solution

The fourth proportional to 100,388.25, 138,537.41 and 55,676.25 is: 76,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,388.25 : 138,537.41 = 55,676.25 : x
  2. Step 2: Convert to fraction form
    100,388.25/138,537.41 = 55,676.25/x
  3. Step 3: Cross multiply
    100,388.25x = 138,537.41 × 55,676.25
  4. Step 4: Simplify right side
    100,388.25x = 7,713,243,195.13
  5. Step 5: Solve for x
    x = 7,713,243,195.13/100,388.25
  6. Step 6: Final answer
    x = 76,834.12

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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.