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Finding the Fourth Proportional to 274,020.36, 411,263.82 and 107,925

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Solution

The fourth proportional to 274,020.36, 411,263.82 and 107,925 is: 161,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,020.36 : 411,263.82 = 107,925 : x
  2. Step 2: Convert to fraction form
    274,020.36/411,263.82 = 107,925/x
  3. Step 3: Cross multiply
    274,020.36x = 411,263.82 × 107,925
  4. Step 4: Simplify right side
    274,020.36x = 44,385,647,773.50
  5. Step 5: Solve for x
    x = 44,385,647,773.50/274,020.36
  6. Step 6: Final answer
    x = 161,979.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.