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Finding the Fourth Proportional to 189,099.66, 283,705.11 and 55,983.48

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Solution

The fourth proportional to 189,099.66, 283,705.11 and 55,983.48 is: 83,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,099.66 : 283,705.11 = 55,983.48 : x
  2. Step 2: Convert to fraction form
    189,099.66/283,705.11 = 55,983.48/x
  3. Step 3: Cross multiply
    189,099.66x = 283,705.11 × 55,983.48
  4. Step 4: Simplify right side
    189,099.66x = 15,882,799,351.58
  5. Step 5: Solve for x
    x = 15,882,799,351.58/189,099.66
  6. Step 6: Final answer
    x = 83,991.69

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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.