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Finding the Fourth Proportional to 231,999.42, 320,144 and 136,487.64

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Solution

The fourth proportional to 231,999.42, 320,144 and 136,487.64 is: 188,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,999.42 : 320,144 = 136,487.64 : x
  2. Step 2: Convert to fraction form
    231,999.42/320,144 = 136,487.64/x
  3. Step 3: Cross multiply
    231,999.42x = 320,144 × 136,487.64
  4. Step 4: Simplify right side
    231,999.42x = 43,695,699,020.16
  5. Step 5: Solve for x
    x = 43,695,699,020.16/231,999.42
  6. Step 6: Final answer
    x = 188,344.00

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