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Finding the Fourth Proportional to 147,138, 203,036.40 and 82,592.46

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Solution

The fourth proportional to 147,138, 203,036.40 and 82,592.46 is: 113,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,138 : 203,036.40 = 82,592.46 : x
  2. Step 2: Convert to fraction form
    147,138/203,036.40 = 82,592.46/x
  3. Step 3: Cross multiply
    147,138x = 203,036.40 × 82,592.46
  4. Step 4: Simplify right side
    147,138x = 16,769,275,745.54
  5. Step 5: Solve for x
    x = 16,769,275,745.54/147,138
  6. Step 6: Final answer
    x = 113,969.71

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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.