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Finding the Fourth Proportional to 262,860.80, 394,204.80 and 96,627.20

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Solution

The fourth proportional to 262,860.80, 394,204.80 and 96,627.20 is: 144,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,860.80 : 394,204.80 = 96,627.20 : x
  2. Step 2: Convert to fraction form
    262,860.80/394,204.80 = 96,627.20/x
  3. Step 3: Cross multiply
    262,860.80x = 394,204.80 × 96,627.20
  4. Step 4: Simplify right side
    262,860.80x = 38,090,906,050.56
  5. Step 5: Solve for x
    x = 38,090,906,050.56/262,860.80
  6. Step 6: Final answer
    x = 144,909.04

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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.