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Finding the Fourth Proportional to 146,463.40, 202,132.10 and 82,812.52

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Solution

The fourth proportional to 146,463.40, 202,132.10 and 82,812.52 is: 114,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,463.40 : 202,132.10 = 82,812.52 : x
  2. Step 2: Convert to fraction form
    146,463.40/202,132.10 = 82,812.52/x
  3. Step 3: Cross multiply
    146,463.40x = 202,132.10 × 82,812.52
  4. Step 4: Simplify right side
    146,463.40x = 16,739,068,573.89
  5. Step 5: Solve for x
    x = 16,739,068,573.89/146,463.40
  6. Step 6: Final answer
    x = 114,288.41

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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.