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Finding the Fourth Proportional to 361,546.56, 542,355.78 and 133,903.04

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Solution

The fourth proportional to 361,546.56, 542,355.78 and 133,903.04 is: 200,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,546.56 : 542,355.78 = 133,903.04 : x
  2. Step 2: Convert to fraction form
    361,546.56/542,355.78 = 133,903.04/x
  3. Step 3: Cross multiply
    361,546.56x = 542,355.78 × 133,903.04
  4. Step 4: Simplify right side
    361,546.56x = 72,623,084,991.79
  5. Step 5: Solve for x
    x = 72,623,084,991.79/361,546.56
  6. Step 6: Final answer
    x = 200,867.86

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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.