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Finding the Fourth Proportional to 146,142.53, 201,682.32 and 82,478.96

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Solution

The fourth proportional to 146,142.53, 201,682.32 and 82,478.96 is: 113,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142.53 : 201,682.32 = 82,478.96 : x
  2. Step 2: Convert to fraction form
    146,142.53/201,682.32 = 82,478.96/x
  3. Step 3: Cross multiply
    146,142.53x = 201,682.32 × 82,478.96
  4. Step 4: Simplify right side
    146,142.53x = 16,634,546,995.58
  5. Step 5: Solve for x
    x = 16,634,546,995.58/146,142.53
  6. Step 6: Final answer
    x = 113,824.14

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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.