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Finding the Fourth Proportional to 132,546.37, 198,496.37 and 100,922.35

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Solution

The fourth proportional to 132,546.37, 198,496.37 and 100,922.35 is: 151,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,546.37 : 198,496.37 = 100,922.35 : x
  2. Step 2: Convert to fraction form
    132,546.37/198,496.37 = 100,922.35/x
  3. Step 3: Cross multiply
    132,546.37x = 198,496.37 × 100,922.35
  4. Step 4: Simplify right side
    132,546.37x = 20,032,719,622.26
  5. Step 5: Solve for x
    x = 20,032,719,622.26/132,546.37
  6. Step 6: Final answer
    x = 151,137.44

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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.