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Finding the Fourth Proportional to 243,906.30, 365,893.88 and 75,441.38

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Solution

The fourth proportional to 243,906.30, 365,893.88 and 75,441.38 is: 113,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,906.30 : 365,893.88 = 75,441.38 : x
  2. Step 2: Convert to fraction form
    243,906.30/365,893.88 = 75,441.38/x
  3. Step 3: Cross multiply
    243,906.30x = 365,893.88 × 75,441.38
  4. Step 4: Simplify right side
    243,906.30x = 27,603,537,034.08
  5. Step 5: Solve for x
    x = 27,603,537,034.08/243,906.30
  6. Step 6: Final answer
    x = 113,172.71

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Why These Related Problems?

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