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Finding the Fourth Proportional to 240,993.96, 361,563.84 and 83,238.36

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Solution

The fourth proportional to 240,993.96, 361,563.84 and 83,238.36 is: 124,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,993.96 : 361,563.84 = 83,238.36 : x
  2. Step 2: Convert to fraction form
    240,993.96/361,563.84 = 83,238.36/x
  3. Step 3: Cross multiply
    240,993.96x = 361,563.84 × 83,238.36
  4. Step 4: Simplify right side
    240,993.96x = 30,095,981,076.90
  5. Step 5: Solve for x
    x = 30,095,981,076.90/240,993.96
  6. Step 6: Final answer
    x = 124,882.72

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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.