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Finding the Fourth Proportional to 223,149.96, 307,945.82 and 121,174.54

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Solution

The fourth proportional to 223,149.96, 307,945.82 and 121,174.54 is: 167,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,149.96 : 307,945.82 = 121,174.54 : x
  2. Step 2: Convert to fraction form
    223,149.96/307,945.82 = 121,174.54/x
  3. Step 3: Cross multiply
    223,149.96x = 307,945.82 × 121,174.54
  4. Step 4: Simplify right side
    223,149.96x = 37,315,192,616.49
  5. Step 5: Solve for x
    x = 37,315,192,616.49/223,149.96
  6. Step 6: Final answer
    x = 167,220.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.