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Finding the Fourth Proportional to 300,513.90, 451,021.14 and 158,410.20

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Solution

The fourth proportional to 300,513.90, 451,021.14 and 158,410.20 is: 237,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,513.90 : 451,021.14 = 158,410.20 : x
  2. Step 2: Convert to fraction form
    300,513.90/451,021.14 = 158,410.20/x
  3. Step 3: Cross multiply
    300,513.90x = 451,021.14 × 158,410.20
  4. Step 4: Simplify right side
    300,513.90x = 71,446,348,991.63
  5. Step 5: Solve for x
    x = 71,446,348,991.63/300,513.90
  6. Step 6: Final answer
    x = 237,747.24

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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.