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Finding the Fourth Proportional to 132,523.26, 198,742.47 and 43,760.22

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Solution

The fourth proportional to 132,523.26, 198,742.47 and 43,760.22 is: 65,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,523.26 : 198,742.47 = 43,760.22 : x
  2. Step 2: Convert to fraction form
    132,523.26/198,742.47 = 43,760.22/x
  3. Step 3: Cross multiply
    132,523.26x = 198,742.47 × 43,760.22
  4. Step 4: Simplify right side
    132,523.26x = 8,697,014,210.54
  5. Step 5: Solve for x
    x = 8,697,014,210.54/132,523.26
  6. Step 6: Final answer
    x = 65,626.32

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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.