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Finding the Fourth Proportional to 209,134.86, 313,676.37 and 123,796.50

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Solution

The fourth proportional to 209,134.86, 313,676.37 and 123,796.50 is: 185,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,134.86 : 313,676.37 = 123,796.50 : x
  2. Step 2: Convert to fraction form
    209,134.86/313,676.37 = 123,796.50/x
  3. Step 3: Cross multiply
    209,134.86x = 313,676.37 × 123,796.50
  4. Step 4: Simplify right side
    209,134.86x = 38,832,036,738.71
  5. Step 5: Solve for x
    x = 38,832,036,738.71/209,134.86
  6. Step 6: Final answer
    x = 185,679.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.