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Finding the Fourth Proportional to 161,314.82, 242,021.46 and 82,484.42

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Solution

The fourth proportional to 161,314.82, 242,021.46 and 82,484.42 is: 123,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,314.82 : 242,021.46 = 82,484.42 : x
  2. Step 2: Convert to fraction form
    161,314.82/242,021.46 = 82,484.42/x
  3. Step 3: Cross multiply
    161,314.82x = 242,021.46 × 82,484.42
  4. Step 4: Simplify right side
    161,314.82x = 19,962,999,755.65
  5. Step 5: Solve for x
    x = 19,962,999,755.65/161,314.82
  6. Step 6: Final answer
    x = 123,751.80

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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.