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Finding the Fourth Proportional to 305,205.94, 421,189.28 and 169,245.64

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Solution

The fourth proportional to 305,205.94, 421,189.28 and 169,245.64 is: 233,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,205.94 : 421,189.28 = 169,245.64 : x
  2. Step 2: Convert to fraction form
    305,205.94/421,189.28 = 169,245.64/x
  3. Step 3: Cross multiply
    305,205.94x = 421,189.28 × 169,245.64
  4. Step 4: Simplify right side
    305,205.94x = 71,284,449,254.74
  5. Step 5: Solve for x
    x = 71,284,449,254.74/305,205.94
  6. Step 6: Final answer
    x = 233,561.80

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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.