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Finding the Fourth Proportional to 231,418.96, 347,131.32 and 73,646.80

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Solution

The fourth proportional to 231,418.96, 347,131.32 and 73,646.80 is: 110,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,418.96 : 347,131.32 = 73,646.80 : x
  2. Step 2: Convert to fraction form
    231,418.96/347,131.32 = 73,646.80/x
  3. Step 3: Cross multiply
    231,418.96x = 347,131.32 × 73,646.80
  4. Step 4: Simplify right side
    231,418.96x = 25,565,110,897.78
  5. Step 5: Solve for x
    x = 25,565,110,897.78/231,418.96
  6. Step 6: Final answer
    x = 110,471.12

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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.