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Finding the Fourth Proportional to 233,255.20, 349,623.60 and 100,112.80

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Solution

The fourth proportional to 233,255.20, 349,623.60 and 100,112.80 is: 150,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,255.20 : 349,623.60 = 100,112.80 : x
  2. Step 2: Convert to fraction form
    233,255.20/349,623.60 = 100,112.80/x
  3. Step 3: Cross multiply
    233,255.20x = 349,623.60 × 100,112.80
  4. Step 4: Simplify right side
    233,255.20x = 35,001,797,542.08
  5. Step 5: Solve for x
    x = 35,001,797,542.08/233,255.20
  6. Step 6: Final answer
    x = 150,057.95

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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.