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Finding the Fourth Proportional to 132,458.72, 198,882.48 and 82,750.64

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Solution

The fourth proportional to 132,458.72, 198,882.48 and 82,750.64 is: 124,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,458.72 : 198,882.48 = 82,750.64 : x
  2. Step 2: Convert to fraction form
    132,458.72/198,882.48 = 82,750.64/x
  3. Step 3: Cross multiply
    132,458.72x = 198,882.48 × 82,750.64
  4. Step 4: Simplify right side
    132,458.72x = 16,457,652,504.79
  5. Step 5: Solve for x
    x = 16,457,652,504.79/132,458.72
  6. Step 6: Final answer
    x = 124,247.41

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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.