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Finding the Fourth Proportional to 257,441.92, 355,255.20 and 150,029.44

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Solution

The fourth proportional to 257,441.92, 355,255.20 and 150,029.44 is: 207,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,441.92 : 355,255.20 = 150,029.44 : x
  2. Step 2: Convert to fraction form
    257,441.92/355,255.20 = 150,029.44/x
  3. Step 3: Cross multiply
    257,441.92x = 355,255.20 × 150,029.44
  4. Step 4: Simplify right side
    257,441.92x = 53,298,738,713.09
  5. Step 5: Solve for x
    x = 53,298,738,713.09/257,441.92
  6. Step 6: Final answer
    x = 207,032.09

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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.