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Finding the Fourth Proportional to 200,543.64, 276,750.24 and 119,974.56

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Solution

The fourth proportional to 200,543.64, 276,750.24 and 119,974.56 is: 165,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543.64 : 276,750.24 = 119,974.56 : x
  2. Step 2: Convert to fraction form
    200,543.64/276,750.24 = 119,974.56/x
  3. Step 3: Cross multiply
    200,543.64x = 276,750.24 × 119,974.56
  4. Step 4: Simplify right side
    200,543.64x = 33,202,988,273.89
  5. Step 5: Solve for x
    x = 33,202,988,273.89/200,543.64
  6. Step 6: Final answer
    x = 165,564.90

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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.