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Finding the Fourth Proportional to 354,628.80, 531,943.20 and 133,099.20

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Solution

The fourth proportional to 354,628.80, 531,943.20 and 133,099.20 is: 199,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,628.80 : 531,943.20 = 133,099.20 : x
  2. Step 2: Convert to fraction form
    354,628.80/531,943.20 = 133,099.20/x
  3. Step 3: Cross multiply
    354,628.80x = 531,943.20 × 133,099.20
  4. Step 4: Simplify right side
    354,628.80x = 70,801,214,365.44
  5. Step 5: Solve for x
    x = 70,801,214,365.44/354,628.80
  6. Step 6: Final answer
    x = 199,648.80

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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.