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Finding the Fourth Proportional to 305,131.07, 421,105.82 and 169,207.64

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Solution

The fourth proportional to 305,131.07, 421,105.82 and 169,207.64 is: 233,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131.07 : 421,105.82 = 169,207.64 : x
  2. Step 2: Convert to fraction form
    305,131.07/421,105.82 = 169,207.64/x
  3. Step 3: Cross multiply
    305,131.07x = 421,105.82 × 169,207.64
  4. Step 4: Simplify right side
    305,131.07x = 71,254,322,199.19
  5. Step 5: Solve for x
    x = 71,254,322,199.19/305,131.07
  6. Step 6: Final answer
    x = 233,520.38

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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.