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Finding the Fourth Proportional to 214,568.55, 322,064.69 and 161,074.53

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Solution

The fourth proportional to 214,568.55, 322,064.69 and 161,074.53 is: 241,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,568.55 : 322,064.69 = 161,074.53 : x
  2. Step 2: Convert to fraction form
    214,568.55/322,064.69 = 161,074.53/x
  3. Step 3: Cross multiply
    214,568.55x = 322,064.69 × 161,074.53
  4. Step 4: Simplify right side
    214,568.55x = 51,876,418,571.35
  5. Step 5: Solve for x
    x = 51,876,418,571.35/214,568.55
  6. Step 6: Final answer
    x = 241,770.84

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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.