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Finding the Fourth Proportional to 306,189.56, 459,232.49 and 92,906.03

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Solution

The fourth proportional to 306,189.56, 459,232.49 and 92,906.03 is: 139,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,189.56 : 459,232.49 = 92,906.03 : x
  2. Step 2: Convert to fraction form
    306,189.56/459,232.49 = 92,906.03/x
  3. Step 3: Cross multiply
    306,189.56x = 459,232.49 × 92,906.03
  4. Step 4: Simplify right side
    306,189.56x = 42,665,464,732.22
  5. Step 5: Solve for x
    x = 42,665,464,732.22/306,189.56
  6. Step 6: Final answer
    x = 139,343.31

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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.