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Finding the Fourth Proportional to 150,780.94, 225,826.94 and 71,950.53

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Solution

The fourth proportional to 150,780.94, 225,826.94 and 71,950.53 is: 107,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,780.94 : 225,826.94 = 71,950.53 : x
  2. Step 2: Convert to fraction form
    150,780.94/225,826.94 = 71,950.53/x
  3. Step 3: Cross multiply
    150,780.94x = 225,826.94 × 71,950.53
  4. Step 4: Simplify right side
    150,780.94x = 16,248,367,373.01
  5. Step 5: Solve for x
    x = 16,248,367,373.01/150,780.94
  6. Step 6: Final answer
    x = 107,761.41

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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.