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Finding the Fourth Proportional to 215,162.88, 296,942.64 and 119,687.52

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Solution

The fourth proportional to 215,162.88, 296,942.64 and 119,687.52 is: 165,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,162.88 : 296,942.64 = 119,687.52 : x
  2. Step 2: Convert to fraction form
    215,162.88/296,942.64 = 119,687.52/x
  3. Step 3: Cross multiply
    215,162.88x = 296,942.64 × 119,687.52
  4. Step 4: Simplify right side
    215,162.88x = 35,540,328,163.85
  5. Step 5: Solve for x
    x = 35,540,328,163.85/215,162.88
  6. Step 6: Final answer
    x = 165,178.72

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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.