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Finding the Fourth Proportional to 132,357, 198,560.11 and 43,616.74

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Solution

The fourth proportional to 132,357, 198,560.11 and 43,616.74 is: 65,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,357 : 198,560.11 = 43,616.74 : x
  2. Step 2: Convert to fraction form
    132,357/198,560.11 = 43,616.74/x
  3. Step 3: Cross multiply
    132,357x = 198,560.11 × 43,616.74
  4. Step 4: Simplify right side
    132,357x = 8,660,544,692.24
  5. Step 5: Solve for x
    x = 8,660,544,692.24/132,357
  6. Step 6: Final answer
    x = 65,433.22

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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.