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Finding the Fourth Proportional to 130,137.20, 194,914.20 and 106,809.20

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Solution

The fourth proportional to 130,137.20, 194,914.20 and 106,809.20 is: 159,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,137.20 : 194,914.20 = 106,809.20 : x
  2. Step 2: Convert to fraction form
    130,137.20/194,914.20 = 106,809.20/x
  3. Step 3: Cross multiply
    130,137.20x = 194,914.20 × 106,809.20
  4. Step 4: Simplify right side
    130,137.20x = 20,818,629,770.64
  5. Step 5: Solve for x
    x = 20,818,629,770.64/130,137.20
  6. Step 6: Final answer
    x = 159,974.47

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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.