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Finding the Fourth Proportional to 140,189.40, 210,232.14 and 50,218.09

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Solution

The fourth proportional to 140,189.40, 210,232.14 and 50,218.09 is: 75,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,189.40 : 210,232.14 = 50,218.09 : x
  2. Step 2: Convert to fraction form
    140,189.40/210,232.14 = 50,218.09/x
  3. Step 3: Cross multiply
    140,189.40x = 210,232.14 × 50,218.09
  4. Step 4: Simplify right side
    140,189.40x = 10,557,456,527.41
  5. Step 5: Solve for x
    x = 10,557,456,527.41/140,189.40
  6. Step 6: Final answer
    x = 75,308.52

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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.