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Finding the Fourth Proportional to 259,908, 358,674.12 and 140,676

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Solution

The fourth proportional to 259,908, 358,674.12 and 140,676 is: 194,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,908 : 358,674.12 = 140,676 : x
  2. Step 2: Convert to fraction form
    259,908/358,674.12 = 140,676/x
  3. Step 3: Cross multiply
    259,908x = 358,674.12 × 140,676
  4. Step 4: Simplify right side
    259,908x = 50,456,840,505.12
  5. Step 5: Solve for x
    x = 50,456,840,505.12/259,908
  6. Step 6: Final answer
    x = 194,133.46

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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.