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Finding the Fourth Proportional to 243,771.42, 365,702.91 and 110,661.03

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Solution

The fourth proportional to 243,771.42, 365,702.91 and 110,661.03 is: 166,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,771.42 : 365,702.91 = 110,661.03 : x
  2. Step 2: Convert to fraction form
    243,771.42/365,702.91 = 110,661.03/x
  3. Step 3: Cross multiply
    243,771.42x = 365,702.91 × 110,661.03
  4. Step 4: Simplify right side
    243,771.42x = 40,469,060,694.60
  5. Step 5: Solve for x
    x = 40,469,060,694.60/243,771.42
  6. Step 6: Final answer
    x = 166,012.33

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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.