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Finding the Fourth Proportional to 150,295.57, 225,595.28 and 133,309.85

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Solution

The fourth proportional to 150,295.57, 225,595.28 and 133,309.85 is: 200,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,295.57 : 225,595.28 = 133,309.85 : x
  2. Step 2: Convert to fraction form
    150,295.57/225,595.28 = 133,309.85/x
  3. Step 3: Cross multiply
    150,295.57x = 225,595.28 × 133,309.85
  4. Step 4: Simplify right side
    150,295.57x = 30,074,072,142.81
  5. Step 5: Solve for x
    x = 30,074,072,142.81/150,295.57
  6. Step 6: Final answer
    x = 200,099.53

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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.