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Finding the Fourth Proportional to 102,734.20, 154,101.30 and 50,116.60

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Solution

The fourth proportional to 102,734.20, 154,101.30 and 50,116.60 is: 75,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,734.20 : 154,101.30 = 50,116.60 : x
  2. Step 2: Convert to fraction form
    102,734.20/154,101.30 = 50,116.60/x
  3. Step 3: Cross multiply
    102,734.20x = 154,101.30 × 50,116.60
  4. Step 4: Simplify right side
    102,734.20x = 7,723,033,211.58
  5. Step 5: Solve for x
    x = 7,723,033,211.58/102,734.20
  6. Step 6: Final answer
    x = 75,174.90

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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.