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Finding the Fourth Proportional to 378,194.69, 567,403.13 and 111,962.12

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Solution

The fourth proportional to 378,194.69, 567,403.13 and 111,962.12 is: 167,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,194.69 : 567,403.13 = 111,962.12 : x
  2. Step 2: Convert to fraction form
    378,194.69/567,403.13 = 111,962.12/x
  3. Step 3: Cross multiply
    378,194.69x = 567,403.13 × 111,962.12
  4. Step 4: Simplify right side
    378,194.69x = 63,527,653,932.61
  5. Step 5: Solve for x
    x = 63,527,653,932.61/378,194.69
  6. Step 6: Final answer
    x = 167,976.06

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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.