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Finding the Fourth Proportional to 224,290.89, 309,546.09 and 138,232.44

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Solution

The fourth proportional to 224,290.89, 309,546.09 and 138,232.44 is: 190,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,290.89 : 309,546.09 = 138,232.44 : x
  2. Step 2: Convert to fraction form
    224,290.89/309,546.09 = 138,232.44/x
  3. Step 3: Cross multiply
    224,290.89x = 309,546.09 × 138,232.44
  4. Step 4: Simplify right side
    224,290.89x = 42,789,311,313.16
  5. Step 5: Solve for x
    x = 42,789,311,313.16/224,290.89
  6. Step 6: Final answer
    x = 190,775.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.