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Finding the Fourth Proportional to 378,122.62, 566,987.10 and 111,847.24

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Solution

The fourth proportional to 378,122.62, 566,987.10 and 111,847.24 is: 167,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,122.62 : 566,987.10 = 111,847.24 : x
  2. Step 2: Convert to fraction form
    378,122.62/566,987.10 = 111,847.24/x
  3. Step 3: Cross multiply
    378,122.62x = 566,987.10 × 111,847.24
  4. Step 4: Simplify right side
    378,122.62x = 63,415,942,250.60
  5. Step 5: Solve for x
    x = 63,415,942,250.60/378,122.62
  6. Step 6: Final answer
    x = 167,712.64

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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.