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Finding the Fourth Proportional to 146,442.26, 202,088.13 and 82,777.82

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Solution

The fourth proportional to 146,442.26, 202,088.13 and 82,777.82 is: 114,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,442.26 : 202,088.13 = 82,777.82 : x
  2. Step 2: Convert to fraction form
    146,442.26/202,088.13 = 82,777.82/x
  3. Step 3: Cross multiply
    146,442.26x = 202,088.13 × 82,777.82
  4. Step 4: Simplify right side
    146,442.26x = 16,728,414,849.28
  5. Step 5: Solve for x
    x = 16,728,414,849.28/146,442.26
  6. Step 6: Final answer
    x = 114,232.15

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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.