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Finding the Fourth Proportional to 259,470.68, 358,069.38 and 140,238.68

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Solution

The fourth proportional to 259,470.68, 358,069.38 and 140,238.68 is: 193,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470.68 : 358,069.38 = 140,238.68 : x
  2. Step 2: Convert to fraction form
    259,470.68/358,069.38 = 140,238.68/x
  3. Step 3: Cross multiply
    259,470.68x = 358,069.38 × 140,238.68
  4. Step 4: Simplify right side
    259,470.68x = 50,215,177,199.62
  5. Step 5: Solve for x
    x = 50,215,177,199.62/259,470.68
  6. Step 6: Final answer
    x = 193,529.29

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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.