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Finding the Fourth Proportional to 295,859.92, 408,286.74 and 159,893.42

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Solution

The fourth proportional to 295,859.92, 408,286.74 and 159,893.42 is: 220,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,859.92 : 408,286.74 = 159,893.42 : x
  2. Step 2: Convert to fraction form
    295,859.92/408,286.74 = 159,893.42/x
  3. Step 3: Cross multiply
    295,859.92x = 408,286.74 × 159,893.42
  4. Step 4: Simplify right side
    295,859.92x = 65,282,363,199.25
  5. Step 5: Solve for x
    x = 65,282,363,199.25/295,859.92
  6. Step 6: Final answer
    x = 220,652.95

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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.