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Finding the Fourth Proportional to 132,672.46, 199,008.24 and 53,786.50

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Solution

The fourth proportional to 132,672.46, 199,008.24 and 53,786.50 is: 80,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,672.46 : 199,008.24 = 53,786.50 : x
  2. Step 2: Convert to fraction form
    132,672.46/199,008.24 = 53,786.50/x
  3. Step 3: Cross multiply
    132,672.46x = 199,008.24 × 53,786.50
  4. Step 4: Simplify right side
    132,672.46x = 10,703,956,700.76
  5. Step 5: Solve for x
    x = 10,703,956,700.76/132,672.46
  6. Step 6: Final answer
    x = 80,679.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.