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Finding the Fourth Proportional to 230,808.81, 318,265.02 and 150,086.64

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Solution

The fourth proportional to 230,808.81, 318,265.02 and 150,086.64 is: 206,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,808.81 : 318,265.02 = 150,086.64 : x
  2. Step 2: Convert to fraction form
    230,808.81/318,265.02 = 150,086.64/x
  3. Step 3: Cross multiply
    230,808.81x = 318,265.02 × 150,086.64
  4. Step 4: Simplify right side
    230,808.81x = 47,767,327,481.33
  5. Step 5: Solve for x
    x = 47,767,327,481.33/230,808.81
  6. Step 6: Final answer
    x = 206,956.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.