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Finding the Fourth Proportional to 264,609.81, 365,164.11 and 143,752.05

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Solution

The fourth proportional to 264,609.81, 365,164.11 and 143,752.05 is: 198,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,609.81 : 365,164.11 = 143,752.05 : x
  2. Step 2: Convert to fraction form
    264,609.81/365,164.11 = 143,752.05/x
  3. Step 3: Cross multiply
    264,609.81x = 365,164.11 × 143,752.05
  4. Step 4: Simplify right side
    264,609.81x = 52,493,089,398.93
  5. Step 5: Solve for x
    x = 52,493,089,398.93/264,609.81
  6. Step 6: Final answer
    x = 198,379.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.