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Finding the Fourth Proportional to 132,342.40, 198,513.60 and 33,846.40

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Solution

The fourth proportional to 132,342.40, 198,513.60 and 33,846.40 is: 50,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,342.40 : 198,513.60 = 33,846.40 : x
  2. Step 2: Convert to fraction form
    132,342.40/198,513.60 = 33,846.40/x
  3. Step 3: Cross multiply
    132,342.40x = 198,513.60 × 33,846.40
  4. Step 4: Simplify right side
    132,342.40x = 6,718,970,711.04
  5. Step 5: Solve for x
    x = 6,718,970,711.04/132,342.40
  6. Step 6: Final answer
    x = 50,769.60

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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.