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Finding the Fourth Proportional to 146,596.96, 202,292.63 and 82,051.41

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Solution

The fourth proportional to 146,596.96, 202,292.63 and 82,051.41 is: 113,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,596.96 : 202,292.63 = 82,051.41 : x
  2. Step 2: Convert to fraction form
    146,596.96/202,292.63 = 82,051.41/x
  3. Step 3: Cross multiply
    146,596.96x = 202,292.63 × 82,051.41
  4. Step 4: Simplify right side
    146,596.96x = 16,598,395,380.42
  5. Step 5: Solve for x
    x = 16,598,395,380.42/146,596.96
  6. Step 6: Final answer
    x = 113,224.69

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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.