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Finding the Fourth Proportional to 378,256.26, 567,305.82 and 111,954.32

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Solution

The fourth proportional to 378,256.26, 567,305.82 and 111,954.32 is: 167,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,256.26 : 567,305.82 = 111,954.32 : x
  2. Step 2: Convert to fraction form
    378,256.26/567,305.82 = 111,954.32/x
  3. Step 3: Cross multiply
    378,256.26x = 567,305.82 × 111,954.32
  4. Step 4: Simplify right side
    378,256.26x = 63,512,334,473.61
  5. Step 5: Solve for x
    x = 63,512,334,473.61/378,256.26
  6. Step 6: Final answer
    x = 167,908.22

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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.