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Finding the Fourth Proportional to 159,198.92, 219,685.82 and 87,567.38

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Solution

The fourth proportional to 159,198.92, 219,685.82 and 87,567.38 is: 120,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198.92 : 219,685.82 = 87,567.38 : x
  2. Step 2: Convert to fraction form
    159,198.92/219,685.82 = 87,567.38/x
  3. Step 3: Cross multiply
    159,198.92x = 219,685.82 × 87,567.38
  4. Step 4: Simplify right side
    159,198.92x = 19,237,311,680.55
  5. Step 5: Solve for x
    x = 19,237,311,680.55/159,198.92
  6. Step 6: Final answer
    x = 120,838.20

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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.