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Finding the Fourth Proportional to 132,593.24, 198,870.10 and 43,847.21

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Solution

The fourth proportional to 132,593.24, 198,870.10 and 43,847.21 is: 65,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,593.24 : 198,870.10 = 43,847.21 : x
  2. Step 2: Convert to fraction form
    132,593.24/198,870.10 = 43,847.21/x
  3. Step 3: Cross multiply
    132,593.24x = 198,870.10 × 43,847.21
  4. Step 4: Simplify right side
    132,593.24x = 8,719,899,037.42
  5. Step 5: Solve for x
    x = 8,719,899,037.42/132,593.24
  6. Step 6: Final answer
    x = 65,764.28

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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.