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Finding the Fourth Proportional to 199,236.29, 274,946.29 and 108,592.32

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Solution

The fourth proportional to 199,236.29, 274,946.29 and 108,592.32 is: 149,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,236.29 : 274,946.29 = 108,592.32 : x
  2. Step 2: Convert to fraction form
    199,236.29/274,946.29 = 108,592.32/x
  3. Step 3: Cross multiply
    199,236.29x = 274,946.29 × 108,592.32
  4. Step 4: Simplify right side
    199,236.29x = 29,857,056,266.06
  5. Step 5: Solve for x
    x = 29,857,056,266.06/199,236.29
  6. Step 6: Final answer
    x = 149,857.52

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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.