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Finding the Fourth Proportional to 213,738.40, 320,185.20 and 187,472.80

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Solution

The fourth proportional to 213,738.40, 320,185.20 and 187,472.80 is: 280,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,738.40 : 320,185.20 = 187,472.80 : x
  2. Step 2: Convert to fraction form
    213,738.40/320,185.20 = 187,472.80/x
  3. Step 3: Cross multiply
    213,738.40x = 320,185.20 × 187,472.80
  4. Step 4: Simplify right side
    213,738.40x = 60,026,015,962.56
  5. Step 5: Solve for x
    x = 60,026,015,962.56/213,738.40
  6. Step 6: Final answer
    x = 280,838.71

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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.