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Finding the Fourth Proportional to 378,095.54, 567,405.24 and 150,367.82

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Solution

The fourth proportional to 378,095.54, 567,405.24 and 150,367.82 is: 225,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,095.54 : 567,405.24 = 150,367.82 : x
  2. Step 2: Convert to fraction form
    378,095.54/567,405.24 = 150,367.82/x
  3. Step 3: Cross multiply
    378,095.54x = 567,405.24 × 150,367.82
  4. Step 4: Simplify right side
    378,095.54x = 85,319,488,995.38
  5. Step 5: Solve for x
    x = 85,319,488,995.38/378,095.54
  6. Step 6: Final answer
    x = 225,655.90

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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.