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Finding the Fourth Proportional to 266,168.26, 367,317.77 and 145,314.64

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Solution

The fourth proportional to 266,168.26, 367,317.77 and 145,314.64 is: 200,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,168.26 : 367,317.77 = 145,314.64 : x
  2. Step 2: Convert to fraction form
    266,168.26/367,317.77 = 145,314.64/x
  3. Step 3: Cross multiply
    266,168.26x = 367,317.77 × 145,314.64
  4. Step 4: Simplify right side
    266,168.26x = 53,376,649,513.15
  5. Step 5: Solve for x
    x = 53,376,649,513.15/266,168.26
  6. Step 6: Final answer
    x = 200,537.24

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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.