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Finding the Fourth Proportional to 132,275.92, 198,412.79 and 53,388.94

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Solution

The fourth proportional to 132,275.92, 198,412.79 and 53,388.94 is: 80,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,275.92 : 198,412.79 = 53,388.94 : x
  2. Step 2: Convert to fraction form
    132,275.92/198,412.79 = 53,388.94/x
  3. Step 3: Cross multiply
    132,275.92x = 198,412.79 × 53,388.94
  4. Step 4: Simplify right side
    132,275.92x = 10,593,048,540.54
  5. Step 5: Solve for x
    x = 10,593,048,540.54/132,275.92
  6. Step 6: Final answer
    x = 80,082.97

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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.