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Finding the Fourth Proportional to 146,450.16, 202,102.29 and 82,784.16

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Solution

The fourth proportional to 146,450.16, 202,102.29 and 82,784.16 is: 114,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,450.16 : 202,102.29 = 82,784.16 : x
  2. Step 2: Convert to fraction form
    146,450.16/202,102.29 = 82,784.16/x
  3. Step 3: Cross multiply
    146,450.16x = 202,102.29 × 82,784.16
  4. Step 4: Simplify right side
    146,450.16x = 16,730,868,311.73
  5. Step 5: Solve for x
    x = 16,730,868,311.73/146,450.16
  6. Step 6: Final answer
    x = 114,242.75

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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.