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Finding the Fourth Proportional to 146,510.74, 202,203.48 and 82,847.17

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Solution

The fourth proportional to 146,510.74, 202,203.48 and 82,847.17 is: 114,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,510.74 : 202,203.48 = 82,847.17 : x
  2. Step 2: Convert to fraction form
    146,510.74/202,203.48 = 82,847.17/x
  3. Step 3: Cross multiply
    146,510.74x = 202,203.48 × 82,847.17
  4. Step 4: Simplify right side
    146,510.74x = 16,751,986,082.15
  5. Step 5: Solve for x
    x = 16,751,986,082.15/146,510.74
  6. Step 6: Final answer
    x = 114,339.65

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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.