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Finding the Fourth Proportional to 262,029.20, 361,542.52 and 166,676

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Solution

The fourth proportional to 262,029.20, 361,542.52 and 166,676 is: 229,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,029.20 : 361,542.52 = 166,676 : x
  2. Step 2: Convert to fraction form
    262,029.20/361,542.52 = 166,676/x
  3. Step 3: Cross multiply
    262,029.20x = 361,542.52 × 166,676
  4. Step 4: Simplify right side
    262,029.20x = 60,260,461,063.52
  5. Step 5: Solve for x
    x = 60,260,461,063.52/262,029.20
  6. Step 6: Final answer
    x = 229,976.13

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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.