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Finding the Fourth Proportional to 378,267.82, 567,400.69 and 112,049.10

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Solution

The fourth proportional to 378,267.82, 567,400.69 and 112,049.10 is: 168,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,267.82 : 567,400.69 = 112,049.10 : x
  2. Step 2: Convert to fraction form
    378,267.82/567,400.69 = 112,049.10/x
  3. Step 3: Cross multiply
    378,267.82x = 567,400.69 × 112,049.10
  4. Step 4: Simplify right side
    378,267.82x = 63,576,736,653.88
  5. Step 5: Solve for x
    x = 63,576,736,653.88/378,267.82
  6. Step 6: Final answer
    x = 168,073.34

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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.