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Finding the Fourth Proportional to 505,082.11, 757,604.71 and 150,086.90

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Solution

The fourth proportional to 505,082.11, 757,604.71 and 150,086.90 is: 225,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,082.11 : 757,604.71 = 150,086.90 : x
  2. Step 2: Convert to fraction form
    505,082.11/757,604.71 = 150,086.90/x
  3. Step 3: Cross multiply
    505,082.11x = 757,604.71 × 150,086.90
  4. Step 4: Simplify right side
    505,082.11x = 113,706,543,868.09
  5. Step 5: Solve for x
    x = 113,706,543,868.09/505,082.11
  6. Step 6: Final answer
    x = 225,124.87

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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.