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Finding the Fourth Proportional to 513,229.25, 769,794.39 and 158,147.93

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Solution

The fourth proportional to 513,229.25, 769,794.39 and 158,147.93 is: 237,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,229.25 : 769,794.39 = 158,147.93 : x
  2. Step 2: Convert to fraction form
    513,229.25/769,794.39 = 158,147.93/x
  3. Step 3: Cross multiply
    513,229.25x = 769,794.39 × 158,147.93
  4. Step 4: Simplify right side
    513,229.25x = 121,741,385,455.14
  5. Step 5: Solve for x
    x = 121,741,385,455.14/513,229.25
  6. Step 6: Final answer
    x = 237,206.64

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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.