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Finding the Fourth Proportional to 265,228.43, 397,399.77 and 186,201.18

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Solution

The fourth proportional to 265,228.43, 397,399.77 and 186,201.18 is: 278,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,228.43 : 397,399.77 = 186,201.18 : x
  2. Step 2: Convert to fraction form
    265,228.43/397,399.77 = 186,201.18/x
  3. Step 3: Cross multiply
    265,228.43x = 397,399.77 × 186,201.18
  4. Step 4: Simplify right side
    265,228.43x = 73,996,306,105.73
  5. Step 5: Solve for x
    x = 73,996,306,105.73/265,228.43
  6. Step 6: Final answer
    x = 278,990.86

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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.