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Finding the Fourth Proportional to 146,583, 202,300.74 and 82,920.24

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Solution

The fourth proportional to 146,583, 202,300.74 and 82,920.24 is: 114,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,583 : 202,300.74 = 82,920.24 : x
  2. Step 2: Convert to fraction form
    146,583/202,300.74 = 82,920.24/x
  3. Step 3: Cross multiply
    146,583x = 202,300.74 × 82,920.24
  4. Step 4: Simplify right side
    146,583x = 16,774,825,912.98
  5. Step 5: Solve for x
    x = 16,774,825,912.98/146,583
  6. Step 6: Final answer
    x = 114,439.10

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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.