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Finding the Fourth Proportional to 150,293.40, 225,553.68 and 102,795

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Solution

The fourth proportional to 150,293.40, 225,553.68 and 102,795 is: 154,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,293.40 : 225,553.68 = 102,795 : x
  2. Step 2: Convert to fraction form
    150,293.40/225,553.68 = 102,795/x
  3. Step 3: Cross multiply
    150,293.40x = 225,553.68 × 102,795
  4. Step 4: Simplify right side
    150,293.40x = 23,185,790,535.60
  5. Step 5: Solve for x
    x = 23,185,790,535.60/150,293.40
  6. Step 6: Final answer
    x = 154,270.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.