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Finding the Fourth Proportional to 193,230.70, 289,846.05 and 133,096.30

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Solution

The fourth proportional to 193,230.70, 289,846.05 and 133,096.30 is: 199,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,230.70 : 289,846.05 = 133,096.30 : x
  2. Step 2: Convert to fraction form
    193,230.70/289,846.05 = 133,096.30/x
  3. Step 3: Cross multiply
    193,230.70x = 289,846.05 × 133,096.30
  4. Step 4: Simplify right side
    193,230.70x = 38,577,436,824.62
  5. Step 5: Solve for x
    x = 38,577,436,824.62/193,230.70
  6. Step 6: Final answer
    x = 199,644.45

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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.