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Finding the Fourth Proportional to 221,832.26, 305,769.89 and 173,349.93

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Solution

The fourth proportional to 221,832.26, 305,769.89 and 173,349.93 is: 238,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,832.26 : 305,769.89 = 173,349.93 : x
  2. Step 2: Convert to fraction form
    221,832.26/305,769.89 = 173,349.93/x
  3. Step 3: Cross multiply
    221,832.26x = 305,769.89 × 173,349.93
  4. Step 4: Simplify right side
    221,832.26x = 53,005,189,027.61
  5. Step 5: Solve for x
    x = 53,005,189,027.61/221,832.26
  6. Step 6: Final answer
    x = 238,942.65

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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.