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Finding the Fourth Proportional to 150,353.42, 225,571.50 and 133,828.88

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Solution

The fourth proportional to 150,353.42, 225,571.50 and 133,828.88 is: 200,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,353.42 : 225,571.50 = 133,828.88 : x
  2. Step 2: Convert to fraction form
    150,353.42/225,571.50 = 133,828.88/x
  3. Step 3: Cross multiply
    150,353.42x = 225,571.50 × 133,828.88
  4. Step 4: Simplify right side
    150,353.42x = 30,187,980,077.06
  5. Step 5: Solve for x
    x = 30,187,980,077.06/150,353.42
  6. Step 6: Final answer
    x = 200,780.14

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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.