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Finding the Fourth Proportional to 231,213.96, 319,075.16 and 135,720.65

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Solution

The fourth proportional to 231,213.96, 319,075.16 and 135,720.65 is: 187,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,213.96 : 319,075.16 = 135,720.65 : x
  2. Step 2: Convert to fraction form
    231,213.96/319,075.16 = 135,720.65/x
  3. Step 3: Cross multiply
    231,213.96x = 319,075.16 × 135,720.65
  4. Step 4: Simplify right side
    231,213.96x = 43,305,088,233.14
  5. Step 5: Solve for x
    x = 43,305,088,233.14/231,213.96
  6. Step 6: Final answer
    x = 187,294.44

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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.