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Finding the Fourth Proportional to 262,922.80, 394,297.80 and 96,689.20

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Solution

The fourth proportional to 262,922.80, 394,297.80 and 96,689.20 is: 145,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,922.80 : 394,297.80 = 96,689.20 : x
  2. Step 2: Convert to fraction form
    262,922.80/394,297.80 = 96,689.20/x
  3. Step 3: Cross multiply
    262,922.80x = 394,297.80 × 96,689.20
  4. Step 4: Simplify right side
    262,922.80x = 38,124,338,843.76
  5. Step 5: Solve for x
    x = 38,124,338,843.76/262,922.80
  6. Step 6: Final answer
    x = 145,002.03

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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.