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Finding the Fourth Proportional to 273,744.69, 410,617.98 and 84,203.77

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Solution

The fourth proportional to 273,744.69, 410,617.98 and 84,203.77 is: 126,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,744.69 : 410,617.98 = 84,203.77 : x
  2. Step 2: Convert to fraction form
    273,744.69/410,617.98 = 84,203.77/x
  3. Step 3: Cross multiply
    273,744.69x = 410,617.98 × 84,203.77
  4. Step 4: Simplify right side
    273,744.69x = 34,575,579,892.69
  5. Step 5: Solve for x
    x = 34,575,579,892.69/273,744.69
  6. Step 6: Final answer
    x = 126,305.94

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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.