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Finding the Fourth Proportional to 102,735.40, 154,103.10 and 36,250.60

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Solution

The fourth proportional to 102,735.40, 154,103.10 and 36,250.60 is: 54,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,735.40 : 154,103.10 = 36,250.60 : x
  2. Step 2: Convert to fraction form
    102,735.40/154,103.10 = 36,250.60/x
  3. Step 3: Cross multiply
    102,735.40x = 154,103.10 × 36,250.60
  4. Step 4: Simplify right side
    102,735.40x = 5,586,329,836.86
  5. Step 5: Solve for x
    x = 5,586,329,836.86/102,735.40
  6. Step 6: Final answer
    x = 54,375.90

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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.