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Finding the Fourth Proportional to 213,846.91, 320,416.17 and 150,356.85

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Solution

The fourth proportional to 213,846.91, 320,416.17 and 150,356.85 is: 225,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.91 : 320,416.17 = 150,356.85 : x
  2. Step 2: Convert to fraction form
    213,846.91/320,416.17 = 150,356.85/x
  3. Step 3: Cross multiply
    213,846.91x = 320,416.17 × 150,356.85
  4. Step 4: Simplify right side
    213,846.91x = 48,176,766,010.26
  5. Step 5: Solve for x
    x = 48,176,766,010.26/213,846.91
  6. Step 6: Final answer
    x = 225,286.24

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1.5x scale

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.