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Finding the Fourth Proportional to 275,020.47, 412,427.02 and 115,107.49

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Solution

The fourth proportional to 275,020.47, 412,427.02 and 115,107.49 is: 172,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,020.47 : 412,427.02 = 115,107.49 : x
  2. Step 2: Convert to fraction form
    275,020.47/412,427.02 = 115,107.49/x
  3. Step 3: Cross multiply
    275,020.47x = 412,427.02 × 115,107.49
  4. Step 4: Simplify right side
    275,020.47x = 47,473,439,080.38
  5. Step 5: Solve for x
    x = 47,473,439,080.38/275,020.47
  6. Step 6: Final answer
    x = 172,617.84

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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.