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Finding the Fourth Proportional to 182,766.36, 274,149.54 and 49,646.64

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Solution

The fourth proportional to 182,766.36, 274,149.54 and 49,646.64 is: 74,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,766.36 : 274,149.54 = 49,646.64 : x
  2. Step 2: Convert to fraction form
    182,766.36/274,149.54 = 49,646.64/x
  3. Step 3: Cross multiply
    182,766.36x = 274,149.54 × 49,646.64
  4. Step 4: Simplify right side
    182,766.36x = 13,610,603,518.55
  5. Step 5: Solve for x
    x = 13,610,603,518.55/182,766.36
  6. Step 6: Final answer
    x = 74,469.96

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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.