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Finding the Fourth Proportional to 227,757.10, 341,943.45 and 133,084.30

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Solution

The fourth proportional to 227,757.10, 341,943.45 and 133,084.30 is: 199,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,757.10 : 341,943.45 = 133,084.30 : x
  2. Step 2: Convert to fraction form
    227,757.10/341,943.45 = 133,084.30/x
  3. Step 3: Cross multiply
    227,757.10x = 341,943.45 × 133,084.30
  4. Step 4: Simplify right side
    227,757.10x = 45,507,304,682.84
  5. Step 5: Solve for x
    x = 45,507,304,682.84/227,757.10
  6. Step 6: Final answer
    x = 199,806.31

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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.