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Finding the Fourth Proportional to 378,090.36, 567,246.27 and 111,858.02

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Solution

The fourth proportional to 378,090.36, 567,246.27 and 111,858.02 is: 167,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,090.36 : 567,246.27 = 111,858.02 : x
  2. Step 2: Convert to fraction form
    378,090.36/567,246.27 = 111,858.02/x
  3. Step 3: Cross multiply
    378,090.36x = 567,246.27 × 111,858.02
  4. Step 4: Simplify right side
    378,090.36x = 63,451,044,614.59
  5. Step 5: Solve for x
    x = 63,451,044,614.59/378,090.36
  6. Step 6: Final answer
    x = 167,819.79

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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.