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Finding the Fourth Proportional to 132,491.34, 182,777.74 and 78,745.82

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Solution

The fourth proportional to 132,491.34, 182,777.74 and 78,745.82 is: 108,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,491.34 : 182,777.74 = 78,745.82 : x
  2. Step 2: Convert to fraction form
    132,491.34/182,777.74 = 78,745.82/x
  3. Step 3: Cross multiply
    132,491.34x = 182,777.74 × 78,745.82
  4. Step 4: Simplify right side
    132,491.34x = 14,392,981,903.29
  5. Step 5: Solve for x
    x = 14,392,981,903.29/132,491.34
  6. Step 6: Final answer
    x = 108,633.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.