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Finding the Fourth Proportional to 135,892.67, 203,855.22 and 65,721.56

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Solution

The fourth proportional to 135,892.67, 203,855.22 and 65,721.56 is: 98,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,892.67 : 203,855.22 = 65,721.56 : x
  2. Step 2: Convert to fraction form
    135,892.67/203,855.22 = 65,721.56/x
  3. Step 3: Cross multiply
    135,892.67x = 203,855.22 × 65,721.56
  4. Step 4: Simplify right side
    135,892.67x = 13,397,683,582.18
  5. Step 5: Solve for x
    x = 13,397,683,582.18/135,892.67
  6. Step 6: Final answer
    x = 98,590.18

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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.