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Finding the Fourth Proportional to 275,757.94, 413,637.21 and 86,219.29

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Solution

The fourth proportional to 275,757.94, 413,637.21 and 86,219.29 is: 129,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,757.94 : 413,637.21 = 86,219.29 : x
  2. Step 2: Convert to fraction form
    275,757.94/413,637.21 = 86,219.29/x
  3. Step 3: Cross multiply
    275,757.94x = 413,637.21 × 86,219.29
  4. Step 4: Simplify right side
    275,757.94x = 35,663,506,563.78
  5. Step 5: Solve for x
    x = 35,663,506,563.78/275,757.94
  6. Step 6: Final answer
    x = 129,329.03

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Why These Related Problems?

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