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Finding the Fourth Proportional to 240,195.48, 360,206.82 and 82,383

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Solution

The fourth proportional to 240,195.48, 360,206.82 and 82,383 is: 123,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,195.48 : 360,206.82 = 82,383 : x
  2. Step 2: Convert to fraction form
    240,195.48/360,206.82 = 82,383/x
  3. Step 3: Cross multiply
    240,195.48x = 360,206.82 × 82,383
  4. Step 4: Simplify right side
    240,195.48x = 29,674,918,452.06
  5. Step 5: Solve for x
    x = 29,674,918,452.06/240,195.48
  6. Step 6: Final answer
    x = 123,544.87

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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.