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Finding the Fourth Proportional to 273,666.89, 410,496.24 and 84,129.86

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Solution

The fourth proportional to 273,666.89, 410,496.24 and 84,129.86 is: 126,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,666.89 : 410,496.24 = 84,129.86 : x
  2. Step 2: Convert to fraction form
    273,666.89/410,496.24 = 84,129.86/x
  3. Step 3: Cross multiply
    273,666.89x = 410,496.24 × 84,129.86
  4. Step 4: Simplify right side
    273,666.89x = 34,534,989,149.25
  5. Step 5: Solve for x
    x = 34,534,989,149.25/273,666.89
  6. Step 6: Final answer
    x = 126,193.52

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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.