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Finding the Fourth Proportional to 199,609.61, 299,414.42 and 159,440.52

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Solution

The fourth proportional to 199,609.61, 299,414.42 and 159,440.52 is: 239,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,609.61 : 299,414.42 = 159,440.52 : x
  2. Step 2: Convert to fraction form
    199,609.61/299,414.42 = 159,440.52/x
  3. Step 3: Cross multiply
    199,609.61x = 299,414.42 × 159,440.52
  4. Step 4: Simplify right side
    199,609.61x = 47,738,790,023.10
  5. Step 5: Solve for x
    x = 47,738,790,023.10/199,609.61
  6. Step 6: Final answer
    x = 239,160.79

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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.