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Finding the Fourth Proportional to 200,509.50, 276,703.17 and 119,940.42

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Solution

The fourth proportional to 200,509.50, 276,703.17 and 119,940.42 is: 165,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,509.50 : 276,703.17 = 119,940.42 : x
  2. Step 2: Convert to fraction form
    200,509.50/276,703.17 = 119,940.42/x
  3. Step 3: Cross multiply
    200,509.50x = 276,703.17 × 119,940.42
  4. Step 4: Simplify right side
    200,509.50x = 33,187,894,425.13
  5. Step 5: Solve for x
    x = 33,187,894,425.13/200,509.50
  6. Step 6: Final answer
    x = 165,517.82

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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.