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Finding the Fourth Proportional to 240,098.50, 360,202.44 and 82,317.40

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Solution

The fourth proportional to 240,098.50, 360,202.44 and 82,317.40 is: 123,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,098.50 : 360,202.44 = 82,317.40 : x
  2. Step 2: Convert to fraction form
    240,098.50/360,202.44 = 82,317.40/x
  3. Step 3: Cross multiply
    240,098.50x = 360,202.44 × 82,317.40
  4. Step 4: Simplify right side
    240,098.50x = 29,650,928,334.46
  5. Step 5: Solve for x
    x = 29,650,928,334.46/240,098.50
  6. Step 6: Final answer
    x = 123,494.85

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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.