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Finding the Fourth Proportional to 189,099.84, 283,652.73 and 55,993.62

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Solution

The fourth proportional to 189,099.84, 283,652.73 and 55,993.62 is: 83,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,099.84 : 283,652.73 = 55,993.62 : x
  2. Step 2: Convert to fraction form
    189,099.84/283,652.73 = 55,993.62/x
  3. Step 3: Cross multiply
    189,099.84x = 283,652.73 × 55,993.62
  4. Step 4: Simplify right side
    189,099.84x = 15,882,743,175.58
  5. Step 5: Solve for x
    x = 15,882,743,175.58/189,099.84
  6. Step 6: Final answer
    x = 83,991.31

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1.5x scale

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.