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Finding the Fourth Proportional to 378,133.15, 567,319.97 and 111,894.97

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Solution

The fourth proportional to 378,133.15, 567,319.97 and 111,894.97 is: 167,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,133.15 : 567,319.97 = 111,894.97 : x
  2. Step 2: Convert to fraction form
    378,133.15/567,319.97 = 111,894.97/x
  3. Step 3: Cross multiply
    378,133.15x = 567,319.97 × 111,894.97
  4. Step 4: Simplify right side
    378,133.15x = 63,480,251,023.55
  5. Step 5: Solve for x
    x = 63,480,251,023.55/378,133.15
  6. Step 6: Final answer
    x = 167,878.04

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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.