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Finding the Fourth Proportional to 270,393.96, 405,269.50 and 126,105.96

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Solution

The fourth proportional to 270,393.96, 405,269.50 and 126,105.96 is: 189,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,393.96 : 405,269.50 = 126,105.96 : x
  2. Step 2: Convert to fraction form
    270,393.96/405,269.50 = 126,105.96/x
  3. Step 3: Cross multiply
    270,393.96x = 405,269.50 × 126,105.96
  4. Step 4: Simplify right side
    270,393.96x = 51,106,899,356.22
  5. Step 5: Solve for x
    x = 51,106,899,356.22/270,393.96
  6. Step 6: Final answer
    x = 189,009.03

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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.