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Finding the Fourth Proportional to 199,014, 274,635.39 and 108,371.07

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Solution

The fourth proportional to 199,014, 274,635.39 and 108,371.07 is: 149,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,014 : 274,635.39 = 108,371.07 : x
  2. Step 2: Convert to fraction form
    199,014/274,635.39 = 108,371.07/x
  3. Step 3: Cross multiply
    199,014x = 274,635.39 × 108,371.07
  4. Step 4: Simplify right side
    199,014x = 29,762,531,074.17
  5. Step 5: Solve for x
    x = 29,762,531,074.17/199,014
  6. Step 6: Final answer
    x = 149,549.94

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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.