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Finding the Fourth Proportional to 193,193.80, 289,401.90 and 134,096.20

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Solution

The fourth proportional to 193,193.80, 289,401.90 and 134,096.20 is: 200,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,193.80 : 289,401.90 = 134,096.20 : x
  2. Step 2: Convert to fraction form
    193,193.80/289,401.90 = 134,096.20/x
  3. Step 3: Cross multiply
    193,193.80x = 289,401.90 × 134,096.20
  4. Step 4: Simplify right side
    193,193.80x = 38,807,695,062.78
  5. Step 5: Solve for x
    x = 38,807,695,062.78/193,193.80
  6. Step 6: Final answer
    x = 200,874.43

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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.