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Finding the Fourth Proportional to 333,542.25, 500,365.22 and 111,978.09

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Solution

The fourth proportional to 333,542.25, 500,365.22 and 111,978.09 is: 167,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,542.25 : 500,365.22 = 111,978.09 : x
  2. Step 2: Convert to fraction form
    333,542.25/500,365.22 = 111,978.09/x
  3. Step 3: Cross multiply
    333,542.25x = 500,365.22 × 111,978.09
  4. Step 4: Simplify right side
    333,542.25x = 56,029,941,078.14
  5. Step 5: Solve for x
    x = 56,029,941,078.14/333,542.25
  6. Step 6: Final answer
    x = 167,984.54

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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.