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Finding the Fourth Proportional to 146,486.90, 202,150.86 and 82,824.68

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Solution

The fourth proportional to 146,486.90, 202,150.86 and 82,824.68 is: 114,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,486.90 : 202,150.86 = 82,824.68 : x
  2. Step 2: Convert to fraction form
    146,486.90/202,150.86 = 82,824.68/x
  3. Step 3: Cross multiply
    146,486.90x = 202,150.86 × 82,824.68
  4. Step 4: Simplify right side
    146,486.90x = 16,743,080,291.22
  5. Step 5: Solve for x
    x = 16,743,080,291.22/146,486.90
  6. Step 6: Final answer
    x = 114,297.46

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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.