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Finding the Fourth Proportional to 223,169.64, 307,845.54 and 133,693.80

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Solution

The fourth proportional to 223,169.64, 307,845.54 and 133,693.80 is: 184,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,169.64 : 307,845.54 = 133,693.80 : x
  2. Step 2: Convert to fraction form
    223,169.64/307,845.54 = 133,693.80/x
  3. Step 3: Cross multiply
    223,169.64x = 307,845.54 × 133,693.80
  4. Step 4: Simplify right side
    223,169.64x = 41,157,040,055.65
  5. Step 5: Solve for x
    x = 41,157,040,055.65/223,169.64
  6. Step 6: Final answer
    x = 184,420.43

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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.