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Finding the Fourth Proportional to 262,893.85, 394,432.35 and 83,007.04

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Solution

The fourth proportional to 262,893.85, 394,432.35 and 83,007.04 is: 124,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,893.85 : 394,432.35 = 83,007.04 : x
  2. Step 2: Convert to fraction form
    262,893.85/394,432.35 = 83,007.04/x
  3. Step 3: Cross multiply
    262,893.85x = 394,432.35 × 83,007.04
  4. Step 4: Simplify right side
    262,893.85x = 32,740,661,853.74
  5. Step 5: Solve for x
    x = 32,740,661,853.74/262,893.85
  6. Step 6: Final answer
    x = 124,539.47

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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.