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Finding the Fourth Proportional to 259,865.38, 358,614.22 and 140,633.38

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Solution

The fourth proportional to 259,865.38, 358,614.22 and 140,633.38 is: 194,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865.38 : 358,614.22 = 140,633.38 : x
  2. Step 2: Convert to fraction form
    259,865.38/358,614.22 = 140,633.38/x
  3. Step 3: Cross multiply
    259,865.38x = 358,614.22 × 140,633.38
  4. Step 4: Simplify right side
    259,865.38x = 50,433,128,081.59
  5. Step 5: Solve for x
    x = 50,433,128,081.59/259,865.38
  6. Step 6: Final answer
    x = 194,074.06

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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.