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Finding the Fourth Proportional to 146,632.68, 202,339.62 and 82,960.20

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Solution

The fourth proportional to 146,632.68, 202,339.62 and 82,960.20 is: 114,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,632.68 : 202,339.62 = 82,960.20 : x
  2. Step 2: Convert to fraction form
    146,632.68/202,339.62 = 82,960.20/x
  3. Step 3: Cross multiply
    146,632.68x = 202,339.62 × 82,960.20
  4. Step 4: Simplify right side
    146,632.68x = 16,786,135,343.12
  5. Step 5: Solve for x
    x = 16,786,135,343.12/146,632.68
  6. Step 6: Final answer
    x = 114,477.45

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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.