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Finding the Fourth Proportional to 214,427, 295,715.53 and 133,861.97

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Solution

The fourth proportional to 214,427, 295,715.53 and 133,861.97 is: 184,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,427 : 295,715.53 = 133,861.97 : x
  2. Step 2: Convert to fraction form
    214,427/295,715.53 = 133,861.97/x
  3. Step 3: Cross multiply
    214,427x = 295,715.53 × 133,861.97
  4. Step 4: Simplify right side
    214,427x = 39,585,063,405.39
  5. Step 5: Solve for x
    x = 39,585,063,405.39/214,427
  6. Step 6: Final answer
    x = 184,608.58

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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.