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Finding the Fourth Proportional to 243,777.42, 365,711.88 and 110,667

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Solution

The fourth proportional to 243,777.42, 365,711.88 and 110,667 is: 166,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,777.42 : 365,711.88 = 110,667 : x
  2. Step 2: Convert to fraction form
    243,777.42/365,711.88 = 110,667/x
  3. Step 3: Cross multiply
    243,777.42x = 365,711.88 × 110,667
  4. Step 4: Simplify right side
    243,777.42x = 40,472,236,623.96
  5. Step 5: Solve for x
    x = 40,472,236,623.96/243,777.42
  6. Step 6: Final answer
    x = 166,021.27

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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.