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Finding the Fourth Proportional to 103,171.78, 154,757.72 and 68,103.24

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Solution

The fourth proportional to 103,171.78, 154,757.72 and 68,103.24 is: 102,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,171.78 : 154,757.72 = 68,103.24 : x
  2. Step 2: Convert to fraction form
    103,171.78/154,757.72 = 68,103.24/x
  3. Step 3: Cross multiply
    103,171.78x = 154,757.72 × 68,103.24
  4. Step 4: Simplify right side
    103,171.78x = 10,539,502,147.01
  5. Step 5: Solve for x
    x = 10,539,502,147.01/103,171.78
  6. Step 6: Final answer
    x = 102,154.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.