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Finding the Fourth Proportional to 209,882.32, 314,739.96 and 76,732.24

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Solution

The fourth proportional to 209,882.32, 314,739.96 and 76,732.24 is: 115,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.32 : 314,739.96 = 76,732.24 : x
  2. Step 2: Convert to fraction form
    209,882.32/314,739.96 = 76,732.24/x
  3. Step 3: Cross multiply
    209,882.32x = 314,739.96 × 76,732.24
  4. Step 4: Simplify right side
    209,882.32x = 24,150,702,148.31
  5. Step 5: Solve for x
    x = 24,150,702,148.31/209,882.32
  6. Step 6: Final answer
    x = 115,067.83

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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.