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Finding the Fourth Proportional to 230,540.02, 318,205.49 and 150,188.02

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Solution

The fourth proportional to 230,540.02, 318,205.49 and 150,188.02 is: 207,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,540.02 : 318,205.49 = 150,188.02 : x
  2. Step 2: Convert to fraction form
    230,540.02/318,205.49 = 150,188.02/x
  3. Step 3: Cross multiply
    230,540.02x = 318,205.49 × 150,188.02
  4. Step 4: Simplify right side
    230,540.02x = 47,790,652,496.23
  5. Step 5: Solve for x
    x = 47,790,652,496.23/230,540.02
  6. Step 6: Final answer
    x = 207,298.73

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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.