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Finding the Fourth Proportional to 240,211.24, 360,322.26 and 82,441

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Solution

The fourth proportional to 240,211.24, 360,322.26 and 82,441 is: 123,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,211.24 : 360,322.26 = 82,441 : x
  2. Step 2: Convert to fraction form
    240,211.24/360,322.26 = 82,441/x
  3. Step 3: Cross multiply
    240,211.24x = 360,322.26 × 82,441
  4. Step 4: Simplify right side
    240,211.24x = 29,705,327,436.66
  5. Step 5: Solve for x
    x = 29,705,327,436.66/240,211.24
  6. Step 6: Final answer
    x = 123,663.35

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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.