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Finding the Fourth Proportional to 275,021.47, 412,428.52 and 115,108.49

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Solution

The fourth proportional to 275,021.47, 412,428.52 and 115,108.49 is: 172,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,021.47 : 412,428.52 = 115,108.49 : x
  2. Step 2: Convert to fraction form
    275,021.47/412,428.52 = 115,108.49/x
  3. Step 3: Cross multiply
    275,021.47x = 412,428.52 × 115,108.49
  4. Step 4: Simplify right side
    275,021.47x = 47,474,024,170.13
  5. Step 5: Solve for x
    x = 47,474,024,170.13/275,021.47
  6. Step 6: Final answer
    x = 172,619.34

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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.