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Finding the Fourth Proportional to 82,445.25, 113,720.22 and 65,422.53

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Solution

The fourth proportional to 82,445.25, 113,720.22 and 65,422.53 is: 90,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,445.25 : 113,720.22 = 65,422.53 : x
  2. Step 2: Convert to fraction form
    82,445.25/113,720.22 = 65,422.53/x
  3. Step 3: Cross multiply
    82,445.25x = 113,720.22 × 65,422.53
  4. Step 4: Simplify right side
    82,445.25x = 7,439,864,504.56
  5. Step 5: Solve for x
    x = 7,439,864,504.56/82,445.25
  6. Step 6: Final answer
    x = 90,240.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.