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Finding the Fourth Proportional to 505,145.64, 757,843.18 and 150,158.12

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Solution

The fourth proportional to 505,145.64, 757,843.18 and 150,158.12 is: 225,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,145.64 : 757,843.18 = 150,158.12 : x
  2. Step 2: Convert to fraction form
    505,145.64/757,843.18 = 150,158.12/x
  3. Step 3: Cross multiply
    505,145.64x = 757,843.18 × 150,158.12
  4. Step 4: Simplify right side
    505,145.64x = 113,796,307,163.62
  5. Step 5: Solve for x
    x = 113,796,307,163.62/505,145.64
  6. Step 6: Final answer
    x = 225,274.25

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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.