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Finding the Fourth Proportional to 147,313.34, 203,277.26 and 82,772.33

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Solution

The fourth proportional to 147,313.34, 203,277.26 and 82,772.33 is: 114,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,313.34 : 203,277.26 = 82,772.33 : x
  2. Step 2: Convert to fraction form
    147,313.34/203,277.26 = 82,772.33/x
  3. Step 3: Cross multiply
    147,313.34x = 203,277.26 × 82,772.33
  4. Step 4: Simplify right side
    147,313.34x = 16,825,732,446.22
  5. Step 5: Solve for x
    x = 16,825,732,446.22/147,313.34
  6. Step 6: Final answer
    x = 114,217.30

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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.