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Finding the Fourth Proportional to 262,913.25, 394,422.95 and 83,026.79

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Solution

The fourth proportional to 262,913.25, 394,422.95 and 83,026.79 is: 124,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,913.25 : 394,422.95 = 83,026.79 : x
  2. Step 2: Convert to fraction form
    262,913.25/394,422.95 = 83,026.79/x
  3. Step 3: Cross multiply
    262,913.25x = 394,422.95 × 83,026.79
  4. Step 4: Simplify right side
    262,913.25x = 32,747,671,440.83
  5. Step 5: Solve for x
    x = 32,747,671,440.83/262,913.25
  6. Step 6: Final answer
    x = 124,556.95

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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.