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Finding the Fourth Proportional to 192,797.56, 289,246.20 and 112,903

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Solution

The fourth proportional to 192,797.56, 289,246.20 and 112,903 is: 169,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,797.56 : 289,246.20 = 112,903 : x
  2. Step 2: Convert to fraction form
    192,797.56/289,246.20 = 112,903/x
  3. Step 3: Cross multiply
    192,797.56x = 289,246.20 × 112,903
  4. Step 4: Simplify right side
    192,797.56x = 32,656,763,718.60
  5. Step 5: Solve for x
    x = 32,656,763,718.60/192,797.56
  6. Step 6: Final answer
    x = 169,383.70

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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.