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Finding the Fourth Proportional to 505,155.12, 757,857.42 and 150,167.64

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Solution

The fourth proportional to 505,155.12, 757,857.42 and 150,167.64 is: 225,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,155.12 : 757,857.42 = 150,167.64 : x
  2. Step 2: Convert to fraction form
    505,155.12/757,857.42 = 150,167.64/x
  3. Step 3: Cross multiply
    505,155.12x = 757,857.42 × 150,167.64
  4. Step 4: Simplify right side
    505,155.12x = 113,805,660,217.89
  5. Step 5: Solve for x
    x = 113,805,660,217.89/505,155.12
  6. Step 6: Final answer
    x = 225,288.54

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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.