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Finding the Fourth Proportional to 305,887.83, 422,192.72 and 169,968.49

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Solution

The fourth proportional to 305,887.83, 422,192.72 and 169,968.49 is: 234,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,887.83 : 422,192.72 = 169,968.49 : x
  2. Step 2: Convert to fraction form
    305,887.83/422,192.72 = 169,968.49/x
  3. Step 3: Cross multiply
    305,887.83x = 422,192.72 × 169,968.49
  4. Step 4: Simplify right side
    305,887.83x = 71,759,459,107.39
  5. Step 5: Solve for x
    x = 71,759,459,107.39/305,887.83
  6. Step 6: Final answer
    x = 234,594.03

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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.