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Finding the Fourth Proportional to 229,380.39, 343,682.33 and 140,448.20

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Solution

The fourth proportional to 229,380.39, 343,682.33 and 140,448.20 is: 210,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,380.39 : 343,682.33 = 140,448.20 : x
  2. Step 2: Convert to fraction form
    229,380.39/343,682.33 = 140,448.20/x
  3. Step 3: Cross multiply
    229,380.39x = 343,682.33 × 140,448.20
  4. Step 4: Simplify right side
    229,380.39x = 48,269,562,199.65
  5. Step 5: Solve for x
    x = 48,269,562,199.65/229,380.39
  6. Step 6: Final answer
    x = 210,434.56

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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.