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Finding the Fourth Proportional to 199,113.69, 274,776.78 and 109,689.69

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Solution

The fourth proportional to 199,113.69, 274,776.78 and 109,689.69 is: 151,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,113.69 : 274,776.78 = 109,689.69 : x
  2. Step 2: Convert to fraction form
    199,113.69/274,776.78 = 109,689.69/x
  3. Step 3: Cross multiply
    199,113.69x = 274,776.78 × 109,689.69
  4. Step 4: Simplify right side
    199,113.69x = 30,140,179,817.40
  5. Step 5: Solve for x
    x = 30,140,179,817.40/199,113.69
  6. Step 6: Final answer
    x = 151,371.71

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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.