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Finding the Fourth Proportional to 305,223.38, 421,200.48 and 169,255.16

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Solution

The fourth proportional to 305,223.38, 421,200.48 and 169,255.16 is: 233,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.38 : 421,200.48 = 169,255.16 : x
  2. Step 2: Convert to fraction form
    305,223.38/421,200.48 = 169,255.16/x
  3. Step 3: Cross multiply
    305,223.38x = 421,200.48 × 169,255.16
  4. Step 4: Simplify right side
    305,223.38x = 71,290,354,634.48
  5. Step 5: Solve for x
    x = 71,290,354,634.48/305,223.38
  6. Step 6: Final answer
    x = 233,567.80

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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.