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Finding the Fourth Proportional to 214,164.42, 295,581.69 and 204,715.14

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Solution

The fourth proportional to 214,164.42, 295,581.69 and 204,715.14 is: 282,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164.42 : 295,581.69 = 204,715.14 : x
  2. Step 2: Convert to fraction form
    214,164.42/295,581.69 = 204,715.14/x
  3. Step 3: Cross multiply
    214,164.42x = 295,581.69 × 204,715.14
  4. Step 4: Simplify right side
    214,164.42x = 60,510,047,049.79
  5. Step 5: Solve for x
    x = 60,510,047,049.79/214,164.42
  6. Step 6: Final answer
    x = 282,540.15

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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.