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Finding the Fourth Proportional to 202,738.40, 279,816.96 and 117,867.68

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Solution

The fourth proportional to 202,738.40, 279,816.96 and 117,867.68 is: 162,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,738.40 : 279,816.96 = 117,867.68 : x
  2. Step 2: Convert to fraction form
    202,738.40/279,816.96 = 117,867.68/x
  3. Step 3: Cross multiply
    202,738.40x = 279,816.96 × 117,867.68
  4. Step 4: Simplify right side
    202,738.40x = 32,981,375,899.85
  5. Step 5: Solve for x
    x = 32,981,375,899.85/202,738.40
  6. Step 6: Final answer
    x = 162,679.47

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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.