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Finding the Fourth Proportional to 200,680.50, 276,982.29 and 120,126

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Solution

The fourth proportional to 200,680.50, 276,982.29 and 120,126 is: 165,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,680.50 : 276,982.29 = 120,126 : x
  2. Step 2: Convert to fraction form
    200,680.50/276,982.29 = 120,126/x
  3. Step 3: Cross multiply
    200,680.50x = 276,982.29 × 120,126
  4. Step 4: Simplify right side
    200,680.50x = 33,272,774,568.54
  5. Step 5: Solve for x
    x = 33,272,774,568.54/200,680.50
  6. Step 6: Final answer
    x = 165,799.74

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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.