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Finding the Fourth Proportional to 102,906.08, 154,249.68 and 49,564.80

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Solution

The fourth proportional to 102,906.08, 154,249.68 and 49,564.80 is: 74,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.08 : 154,249.68 = 49,564.80 : x
  2. Step 2: Convert to fraction form
    102,906.08/154,249.68 = 49,564.80/x
  3. Step 3: Cross multiply
    102,906.08x = 154,249.68 × 49,564.80
  4. Step 4: Simplify right side
    102,906.08x = 7,645,354,539.26
  5. Step 5: Solve for x
    x = 7,645,354,539.26/102,906.08
  6. Step 6: Final answer
    x = 74,294.49

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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.