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Finding the Fourth Proportional to 189,353.82, 283,760.07 and 139,039.14

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Solution

The fourth proportional to 189,353.82, 283,760.07 and 139,039.14 is: 208,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,353.82 : 283,760.07 = 139,039.14 : x
  2. Step 2: Convert to fraction form
    189,353.82/283,760.07 = 139,039.14/x
  3. Step 3: Cross multiply
    189,353.82x = 283,760.07 × 139,039.14
  4. Step 4: Simplify right side
    189,353.82x = 39,453,756,099.14
  5. Step 5: Solve for x
    x = 39,453,756,099.14/189,353.82
  6. Step 6: Final answer
    x = 208,359.97

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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.