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Finding the Fourth Proportional to 149,609.56, 206,461.08 and 82,541.56

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Solution

The fourth proportional to 149,609.56, 206,461.08 and 82,541.56 is: 113,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,609.56 : 206,461.08 = 82,541.56 : x
  2. Step 2: Convert to fraction form
    149,609.56/206,461.08 = 82,541.56/x
  3. Step 3: Cross multiply
    149,609.56x = 206,461.08 × 82,541.56
  4. Step 4: Simplify right side
    149,609.56x = 17,041,619,622.48
  5. Step 5: Solve for x
    x = 17,041,619,622.48/149,609.56
  6. Step 6: Final answer
    x = 113,907.29

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Why These Related Problems?

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