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Finding the Fourth Proportional to 137,563.68, 206,346.45 and 44,069.46

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Solution

The fourth proportional to 137,563.68, 206,346.45 and 44,069.46 is: 66,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,563.68 : 206,346.45 = 44,069.46 : x
  2. Step 2: Convert to fraction form
    137,563.68/206,346.45 = 44,069.46/x
  3. Step 3: Cross multiply
    137,563.68x = 206,346.45 × 44,069.46
  4. Step 4: Simplify right side
    137,563.68x = 9,093,576,624.42
  5. Step 5: Solve for x
    x = 9,093,576,624.42/137,563.68
  6. Step 6: Final answer
    x = 66,104.49

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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.