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Finding the Fourth Proportional to 286,816.38, 395,806.92 and 159,489.24

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Solution

The fourth proportional to 286,816.38, 395,806.92 and 159,489.24 is: 220,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,816.38 : 395,806.92 = 159,489.24 : x
  2. Step 2: Convert to fraction form
    286,816.38/395,806.92 = 159,489.24/x
  3. Step 3: Cross multiply
    286,816.38x = 395,806.92 × 159,489.24
  4. Step 4: Simplify right side
    286,816.38x = 63,126,944,857.54
  5. Step 5: Solve for x
    x = 63,126,944,857.54/286,816.38
  6. Step 6: Final answer
    x = 220,095.33

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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.