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Finding the Fourth Proportional to 200,517.66, 276,695.97 and 115,618.32

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Solution

The fourth proportional to 200,517.66, 276,695.97 and 115,618.32 is: 159,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,517.66 : 276,695.97 = 115,618.32 : x
  2. Step 2: Convert to fraction form
    200,517.66/276,695.97 = 115,618.32/x
  3. Step 3: Cross multiply
    200,517.66x = 276,695.97 × 115,618.32
  4. Step 4: Simplify right side
    200,517.66x = 31,991,123,202.17
  5. Step 5: Solve for x
    x = 31,991,123,202.17/200,517.66
  6. Step 6: Final answer
    x = 159,542.67

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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.