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Finding the Fourth Proportional to 240,154.20, 360,238.59 and 82,380.42

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Solution

The fourth proportional to 240,154.20, 360,238.59 and 82,380.42 is: 123,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,154.20 : 360,238.59 = 82,380.42 : x
  2. Step 2: Convert to fraction form
    240,154.20/360,238.59 = 82,380.42/x
  3. Step 3: Cross multiply
    240,154.20x = 360,238.59 × 82,380.42
  4. Step 4: Simplify right side
    240,154.20x = 29,676,606,344.41
  5. Step 5: Solve for x
    x = 29,676,606,344.41/240,154.20
  6. Step 6: Final answer
    x = 123,573.13

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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.