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Finding the Fourth Proportional to 200,516.50, 276,712.77 and 119,947.42

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Solution

The fourth proportional to 200,516.50, 276,712.77 and 119,947.42 is: 165,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,516.50 : 276,712.77 = 119,947.42 : x
  2. Step 2: Convert to fraction form
    200,516.50/276,712.77 = 119,947.42/x
  3. Step 3: Cross multiply
    200,516.50x = 276,712.77 × 119,947.42
  4. Step 4: Simplify right side
    200,516.50x = 33,190,982,842.55
  5. Step 5: Solve for x
    x = 33,190,982,842.55/200,516.50
  6. Step 6: Final answer
    x = 165,527.44

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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.