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Finding the Fourth Proportional to 305,913.75, 422,114.19 and 169,935.20

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Solution

The fourth proportional to 305,913.75, 422,114.19 and 169,935.20 is: 234,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,913.75 : 422,114.19 = 169,935.20 : x
  2. Step 2: Convert to fraction form
    305,913.75/422,114.19 = 169,935.20/x
  3. Step 3: Cross multiply
    305,913.75x = 422,114.19 × 169,935.20
  4. Step 4: Simplify right side
    305,913.75x = 71,732,058,135.59
  5. Step 5: Solve for x
    x = 71,732,058,135.59/305,913.75
  6. Step 6: Final answer
    x = 234,484.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.