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Finding the Fourth Proportional to 146,491.74, 202,177.22 and 82,828.17

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Solution

The fourth proportional to 146,491.74, 202,177.22 and 82,828.17 is: 114,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,491.74 : 202,177.22 = 82,828.17 : x
  2. Step 2: Convert to fraction form
    146,491.74/202,177.22 = 82,828.17/x
  3. Step 3: Cross multiply
    146,491.74x = 202,177.22 × 82,828.17
  4. Step 4: Simplify right side
    146,491.74x = 16,745,968,734.15
  5. Step 5: Solve for x
    x = 16,745,968,734.15/146,491.74
  6. Step 6: Final answer
    x = 114,313.40

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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.