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Finding the Fourth Proportional to 263,998.92, 364,337.82 and 150,819.24

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Solution

The fourth proportional to 263,998.92, 364,337.82 and 150,819.24 is: 208,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,998.92 : 364,337.82 = 150,819.24 : x
  2. Step 2: Convert to fraction form
    263,998.92/364,337.82 = 150,819.24/x
  3. Step 3: Cross multiply
    263,998.92x = 364,337.82 × 150,819.24
  4. Step 4: Simplify right side
    263,998.92x = 54,949,153,115.66
  5. Step 5: Solve for x
    x = 54,949,153,115.66/263,998.92
  6. Step 6: Final answer
    x = 208,141.58

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1.5x scale

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.