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Finding the Fourth Proportional to 132,098.92, 198,137.70 and 37,325.28

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Solution

The fourth proportional to 132,098.92, 198,137.70 and 37,325.28 is: 55,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,098.92 : 198,137.70 = 37,325.28 : x
  2. Step 2: Convert to fraction form
    132,098.92/198,137.70 = 37,325.28/x
  3. Step 3: Cross multiply
    132,098.92x = 198,137.70 × 37,325.28
  4. Step 4: Simplify right side
    132,098.92x = 7,395,545,131.06
  5. Step 5: Solve for x
    x = 7,395,545,131.06/132,098.92
  6. Step 6: Final answer
    x = 55,984.90

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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.