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Finding the Fourth Proportional to 262,852.80, 394,335.36 and 96,640.80

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Solution

The fourth proportional to 262,852.80, 394,335.36 and 96,640.80 is: 144,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,852.80 : 394,335.36 = 96,640.80 : x
  2. Step 2: Convert to fraction form
    262,852.80/394,335.36 = 96,640.80/x
  3. Step 3: Cross multiply
    262,852.80x = 394,335.36 × 96,640.80
  4. Step 4: Simplify right side
    262,852.80x = 38,108,884,658.69
  5. Step 5: Solve for x
    x = 38,108,884,658.69/262,852.80
  6. Step 6: Final answer
    x = 144,981.85

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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.